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{"title":"解析函数的新积分算子","authors":"H. Özlem Güney, Shigeyoshi Owa, Adel A. Attiya","doi":"10.1155/2024/5295531","DOIUrl":null,"url":null,"abstract":"Let <svg height=\"14.7625pt\" style=\"vertical-align:-5.47417pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 31.9134 14.7625\" width=\"31.9134pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,10.244,3.132)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,16.195,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,20.693,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,27.219,0)\"></path></g></svg> be the class of functions <svg height=\"12.7178pt\" style=\"vertical-align:-3.42947pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 24.0049 12.7178\" width=\"24.0049pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,8.352,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,12.85,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,19.325,0)\"><use xlink:href=\"#g113-42\"></use></g></svg> given by <span><svg height=\"17.0656pt\" style=\"vertical-align:-5.474199pt\" version=\"1.1\" viewbox=\"-0.0498162 -11.5914 35.086 17.0656\" width=\"35.086pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-103\"></use></g><g transform=\"matrix(.013,0,0,-0.013,8.352,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,12.85,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.013,0,0,-0.013,19.325,0)\"><use xlink:href=\"#g113-42\"></use></g><g transform=\"matrix(.013,0,0,-0.013,27.455,0)\"></path></g></svg><span></span><svg height=\"17.0656pt\" style=\"vertical-align:-5.474199pt\" version=\"1.1\" viewbox=\"38.6681838 -11.5914 22.963 17.0656\" width=\"22.963pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,38.718,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,45.193,-5.741)\"><use xlink:href=\"#g50-113\"></use></g><g transform=\"matrix(.013,0,0,-0.013,54.05,0)\"></path></g></svg><span></span><svg height=\"17.0656pt\" style=\"vertical-align:-5.474199pt\" version=\"1.1\" viewbox=\"64.5361838 -11.5914 55.423 17.0656\" width=\"55.423pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,64.586,0)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,70.579,3.132)\"><use xlink:href=\"#g50-113\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,76.013,3.132)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,81.573,3.132)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,86.788,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,93.263,-5.741)\"><use xlink:href=\"#g50-113\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,98.697,-5.741)\"><use xlink:href=\"#g54-36\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,104.257,-5.741)\"><use xlink:href=\"#g50-111\"></use></g><g transform=\"matrix(.013,0,0,-0.013,112.378,0)\"><use xlink:href=\"#g117-36\"></use></g></svg><span></span><svg height=\"17.0656pt\" style=\"vertical-align:-5.474199pt\" version=\"1.1\" viewbox=\"122.8641838 -11.5914 75.481 17.0656\" width=\"75.481pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,122.914,0)\"><use xlink:href=\"#g113-98\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,128.907,3.132)\"><use xlink:href=\"#g50-113\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,134.341,3.132)\"><use xlink:href=\"#g54-36\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,139.901,3.132)\"><use xlink:href=\"#g50-111\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,144.56,3.132)\"><use xlink:href=\"#g54-36\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,150.12,3.132)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,155.145,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,161.62,-5.741)\"><use xlink:href=\"#g50-113\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,167.054,-5.741)\"><use xlink:href=\"#g54-36\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,172.614,-5.741)\"><use xlink:href=\"#g50-111\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,177.273,-5.741)\"><use xlink:href=\"#g54-36\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,182.833,-5.741)\"><use xlink:href=\"#g50-50\"></use></g><g transform=\"matrix(.013,0,0,-0.013,190.764,0)\"><use xlink:href=\"#g117-36\"></use></g></svg><span></span><svg height=\"17.0656pt\" style=\"vertical-align:-5.474199pt\" version=\"1.1\" viewbox=\"201.2501838 -11.5914 15.873 17.0656\" width=\"15.873pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,201.3,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,206.443,0)\"><use xlink:href=\"#g113-46\"></use></g><g transform=\"matrix(.013,0,0,-0.013,211.586,0)\"><use xlink:href=\"#g113-46\"></use></g></svg></span> which are analytic in the open unit disk <span><svg height=\"8.92059pt\" style=\"vertical-align:-0.2325001pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.68809 12.183 8.92059\" width=\"12.183pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,9.074,0)\"></path></g></svg><span></span></span> For <span><svg height=\"14.7625pt\" style=\"vertical-align:-5.47417pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 34.319 14.7625\" width=\"34.319pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-103\"></use></g><g transform=\"matrix(.013,0,0,-0.013,8.352,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,12.85,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.013,0,0,-0.013,19.325,0)\"><use xlink:href=\"#g113-42\"></use></g><g transform=\"matrix(.013,0,0,-0.013,27.455,0)\"></path></g></svg><span></span><span><svg height=\"14.7625pt\" style=\"vertical-align:-5.47417pt\" version=\"1.1\" viewbox=\"37.9011838 -9.28833 32.021 14.7625\" width=\"32.021pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,37.951,0)\"><use xlink:href=\"#g113-66\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,48.195,3.132)\"><use xlink:href=\"#g50-113\"></use></g><g transform=\"matrix(.013,0,0,-0.013,54.146,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,58.644,0)\"><use xlink:href=\"#g113-111\"></use></g><g transform=\"matrix(.013,0,0,-0.013,65.17,0)\"><use xlink:href=\"#g113-42\"></use></g></svg>,</span></span> new integral operators <svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 43.0414 14.8173\" width=\"43.0414pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,8.996,3.132)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,14.556,3.132)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,19.003,0)\"><use xlink:href=\"#g113-103\"></use></g><g transform=\"matrix(.013,0,0,-0.013,27.355,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,31.853,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.013,0,0,-0.013,38.328,0)\"><use xlink:href=\"#g113-42\"></use></g></svg> and <svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 37.4604 14.8173\" width=\"37.4604pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g198-16\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,8.996,3.132)\"><use xlink:href=\"#g50-107\"></use></g><g transform=\"matrix(.013,0,0,-0.013,13.422,0)\"><use xlink:href=\"#g113-103\"></use></g><g transform=\"matrix(.013,0,0,-0.013,21.774,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,26.272,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.013,0,0,-0.013,32.747,0)\"><use xlink:href=\"#g113-42\"></use></g></svg> <span><svg height=\"12.7178pt\" style=\"vertical-align:-3.42947pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 21.261 12.7178\" width=\"21.261pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,4.498,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,13.63,0)\"><use xlink:href=\"#g117-34\"></use></g></svg><span></span><svg height=\"12.7178pt\" style=\"vertical-align:-3.42947pt\" version=\"1.1\" viewbox=\"24.843183800000002 -9.28833 9.204 12.7178\" width=\"9.204pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,24.893,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,31.133,0)\"></path></g></svg><span></span><svg height=\"12.7178pt\" style=\"vertical-align:-3.42947pt\" version=\"1.1\" viewbox=\"36.2261838 -9.28833 9.204 12.7178\" width=\"9.204pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,36.276,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,42.516,0)\"><use xlink:href=\"#g113-45\"></use></g></svg><span></span><svg height=\"12.7178pt\" style=\"vertical-align:-3.42947pt\" version=\"1.1\" viewbox=\"47.6091838 -9.28833 9.204 12.7178\" width=\"9.204pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,47.659,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,53.899,0)\"><use xlink:href=\"#g113-45\"></use></g></svg><span></span><svg height=\"12.7178pt\" style=\"vertical-align:-3.42947pt\" version=\"1.1\" viewbox=\"58.9921838 -9.28833 20.606 12.7178\" width=\"20.606pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,59.042,0)\"><use xlink:href=\"#g113-46\"></use></g><g transform=\"matrix(.013,0,0,-0.013,64.185,0)\"><use xlink:href=\"#g113-46\"></use></g><g transform=\"matrix(.013,0,0,-0.013,69.328,0)\"><use xlink:href=\"#g113-46\"></use></g><g transform=\"matrix(.013,0,0,-0.013,76.684,0)\"><use xlink:href=\"#g113-47\"></use></g></svg><span></span><svg height=\"12.7178pt\" style=\"vertical-align:-3.42947pt\" version=\"1.1\" viewbox=\"79.5981838 -9.28833 4.794 12.7178\" width=\"4.794pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,79.648,0)\"><use xlink:href=\"#g113-42\"></use></g></svg></span> are considered. The operators <svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 43.0414 14.8173\" width=\"43.0414pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g198-16\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,8.996,3.132)\"><use xlink:href=\"#g54-33\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,14.556,3.132)\"><use xlink:href=\"#g50-107\"></use></g><g transform=\"matrix(.013,0,0,-0.013,19.003,0)\"><use xlink:href=\"#g113-103\"></use></g><g transform=\"matrix(.013,0,0,-0.013,27.355,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,31.853,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.013,0,0,-0.013,38.328,0)\"><use xlink:href=\"#g113-42\"></use></g></svg> and <svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 37.4604 14.8173\" width=\"37.4604pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g198-16\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,8.996,3.132)\"><use xlink:href=\"#g50-107\"></use></g><g transform=\"matrix(.013,0,0,-0.013,13.422,0)\"><use xlink:href=\"#g113-103\"></use></g><g transform=\"matrix(.013,0,0,-0.013,21.774,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,26.272,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.013,0,0,-0.013,32.747,0)\"><use xlink:href=\"#g113-42\"></use></g></svg> satisfy <span><svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 76.507 14.8173\" width=\"76.507pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g198-16\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,8.996,3.132)\"><use xlink:href=\"#g50-107\"></use></g><g transform=\"matrix(.013,0,0,-0.013,13.422,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,17.92,0)\"><use xlink:href=\"#g198-16\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,26.916,3.132)\"><use xlink:href=\"#g54-33\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,32.476,3.132)\"><use xlink:href=\"#g50-107\"></use></g><g transform=\"matrix(.013,0,0,-0.013,36.922,0)\"><use xlink:href=\"#g113-103\"></use></g><g transform=\"matrix(.013,0,0,-0.013,45.275,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,49.773,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.013,0,0,-0.013,56.248,0)\"><use xlink:href=\"#g113-42\"></use></g><g transform=\"matrix(.013,0,0,-0.013,60.746,0)\"><use xlink:href=\"#g113-42\"></use></g><g transform=\"matrix(.013,0,0,-0.013,68.876,0)\"><use xlink:href=\"#g117-34\"></use></g></svg><span></span><svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"80.08818380000001 -9.28833 76.507 14.8173\" width=\"76.507pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,80.138,0)\"><use xlink:href=\"#g198-16\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,89.135,3.132)\"><use xlink:href=\"#g54-33\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,94.695,3.132)\"><use xlink:href=\"#g50-107\"></use></g><g transform=\"matrix(.013,0,0,-0.013,99.141,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,103.639,0)\"><use xlink:href=\"#g198-16\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,112.635,3.132)\"><use xlink:href=\"#g50-107\"></use></g><g transform=\"matrix(.013,0,0,-0.013,117.061,0)\"><use xlink:href=\"#g113-103\"></use></g><g transform=\"matrix(.013,0,0,-0.013,125.413,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,129.911,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.013,0,0,-0.013,136.386,0)\"><use xlink:href=\"#g113-42\"></use></g><g transform=\"matrix(.013,0,0,-0.013,140.884,0)\"><use xlink:href=\"#g113-42\"></use></g><g transform=\"matrix(.013,0,0,-0.013,149.014,0)\"><use xlink:href=\"#g117-34\"></use></g></svg><span></span><svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"160.22718379999998 -9.28833 24.429 14.8173\" width=\"24.429pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,160.277,0)\"><use xlink:href=\"#g113-103\"></use></g><g transform=\"matrix(.013,0,0,-0.013,168.629,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,173.127,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.013,0,0,-0.013,179.602,0)\"><use xlink:href=\"#g113-42\"></use></g></svg></span> and <span><svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 34.037 14.8173\" width=\"34.037pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,4.498,0)\"><use xlink:href=\"#g198-16\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,13.494,3.132)\"><use xlink:href=\"#g54-33\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,19.054,3.132)\"><use xlink:href=\"#g50-107\"></use></g><g transform=\"matrix(.013,0,0,-0.013,26.406,0)\"></path></g></svg><span></span><svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"36.893183799999996 -9.28833 53.006 14.8173\" width=\"53.006pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,36.943,0)\"><use xlink:href=\"#g198-16\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,45.939,3.132)\"><use xlink:href=\"#g50-107\"></use></g><g transform=\"matrix(.013,0,0,-0.013,50.364,0)\"><use xlink:href=\"#g113-42\"></use></g><g transform=\"matrix(.013,0,0,-0.013,54.862,0)\"><use xlink:href=\"#g113-103\"></use></g><g transform=\"matrix(.013,0,0,-0.013,63.215,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,67.713,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.013,0,0,-0.013,74.188,0)\"><use xlink:href=\"#g113-42\"></use></g><g transform=\"matrix(.013,0,0,-0.013,82.318,0)\"><use xlink:href=\"#g117-34\"></use></g></svg><span></span><svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"93.5301838 -9.28833 28.457 14.8173\" width=\"28.457pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,93.58,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,98.078,0)\"><use xlink:href=\"#g198-16\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,107.075,3.132)\"><use xlink:href=\"#g50-107\"></use></g><g transform=\"matrix(.013,0,0,-0.013,114.406,0)\"><use xlink:href=\"#g113-43\"></use></g></svg><span></span><svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"124.8921838 -9.28833 58.587 14.8173\" width=\"58.587pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,124.942,0)\"><use xlink:href=\"#g198-16\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,133.938,3.132)\"><use xlink:href=\"#g54-33\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,139.498,3.132)\"><use xlink:href=\"#g50-107\"></use></g><g transform=\"matrix(.013,0,0,-0.013,143.945,0)\"><use xlink:href=\"#g113-42\"></use></g><g transform=\"matrix(.013,0,0,-0.013,148.443,0)\"><use xlink:href=\"#g113-103\"></use></g><g transform=\"matrix(.013,0,0,-0.013,156.795,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,161.293,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.013,0,0,-0.013,167.768,0)\"><use xlink:href=\"#g113-42\"></use></g><g transform=\"matrix(.013,0,0,-0.013,175.898,0)\"><use xlink:href=\"#g117-34\"></use></g></svg><span></span><svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"187.1111838 -9.28833 23.387 14.8173\" width=\"23.387pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,187.161,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,191.659,0)\"><use xlink:href=\"#g113-103\"></use></g><g transform=\"matrix(.013,0,0,-0.013,202.917,0)\"><use xlink:href=\"#g113-43\"></use></g></svg><span></span><svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"213.4031838 -9.28833 29.071 14.8173\" width=\"29.071pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,213.453,0)\"><use xlink:href=\"#g113-103\"></use></g><g transform=\"matrix(.013,0,0,-0.013,221.805,0)\"><use xlink:href=\"#g113-42\"></use></g><g transform=\"matrix(.013,0,0,-0.013,226.303,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,230.801,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.013,0,0,-0.013,237.276,0)\"><use xlink:href=\"#g113-42\"></use></g></svg></span> for the convolution <svg height=\"6.01072pt\" style=\"vertical-align:-0.04980993pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 7.75925 6.01072\" width=\"7.75925pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-43\"></use></g></svg> of <svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 43.0414 14.8173\" width=\"43.0414pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g198-16\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,8.996,3.132)\"><use xlink:href=\"#g54-33\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,14.556,3.132)\"><use xlink:href=\"#g50-107\"></use></g><g transform=\"matrix(.013,0,0,-0.013,19.003,0)\"><use xlink:href=\"#g113-103\"></use></g><g transform=\"matrix(.013,0,0,-0.013,27.355,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,31.853,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.013,0,0,-0.013,38.328,0)\"><use xlink:href=\"#g113-42\"></use></g></svg> and <span><svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 40.436 14.8173\" width=\"40.436pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g198-16\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,8.996,3.132)\"><use xlink:href=\"#g50-107\"></use></g><g transform=\"matrix(.013,0,0,-0.013,13.422,0)\"><use xlink:href=\"#g113-103\"></use></g><g transform=\"matrix(.013,0,0,-0.013,21.774,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,26.272,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.013,0,0,-0.013,32.747,0)\"><use xlink:href=\"#g113-42\"></use></g><g transform=\"matrix(.013,0,0,-0.013,37.245,0)\"><use xlink:href=\"#g113-47\"></use></g></svg><span></span></span> In the present paper, the dominants for both operators <svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 43.0414 14.8173\" width=\"43.0414pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g198-16\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,8.996,3.132)\"><use xlink:href=\"#g54-33\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,14.556,3.132)\"><use xlink:href=\"#g50-107\"></use></g><g transform=\"matrix(.013,0,0,-0.013,19.003,0)\"><use xlink:href=\"#g113-103\"></use></g><g transform=\"matrix(.013,0,0,-0.013,27.355,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,31.853,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.013,0,0,-0.013,38.328,0)\"><use xlink:href=\"#g113-42\"></use></g></svg> and <svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 37.4604 14.8173\" width=\"37.4604pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g198-16\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,8.996,3.132)\"><use xlink:href=\"#g50-107\"></use></g><g transform=\"matrix(.013,0,0,-0.013,13.422,0)\"><use xlink:href=\"#g113-103\"></use></g><g transform=\"matrix(.013,0,0,-0.013,21.774,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,26.272,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.013,0,0,-0.013,32.747,0)\"><use xlink:href=\"#g113-42\"></use></g></svg> and subordinations for <svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 43.0414 14.8173\" width=\"43.0414pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g198-16\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,8.996,3.132)\"><use xlink:href=\"#g54-33\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,14.556,3.132)\"><use xlink:href=\"#g50-107\"></use></g><g transform=\"matrix(.013,0,0,-0.013,19.003,0)\"><use xlink:href=\"#g113-103\"></use></g><g transform=\"matrix(.013,0,0,-0.013,27.355,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,31.853,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.013,0,0,-0.013,38.328,0)\"><use xlink:href=\"#g113-42\"></use></g></svg> and <svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 37.4604 14.8173\" width=\"37.4604pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g198-16\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,8.996,3.132)\"><use xlink:href=\"#g50-107\"></use></g><g transform=\"matrix(.013,0,0,-0.013,13.422,0)\"><use xlink:href=\"#g113-103\"></use></g><g transform=\"matrix(.013,0,0,-0.013,21.774,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,26.272,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.013,0,0,-0.013,32.747,0)\"><use xlink:href=\"#g113-42\"></use></g></svg> are discussed. Also, new subclass <span><svg height=\"14.7625pt\" style=\"vertical-align:-5.47417pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 38.788 14.7625\" width=\"38.788pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,11.856,3.132)\"><use xlink:href=\"#g50-113\"></use></g><g transform=\"matrix(.013,0,0,-0.013,17.807,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,22.305,0)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,27.973,3.132)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,35.824,0)\"><use xlink:href=\"#g113-45\"></use></g></svg><span></span><svg height=\"14.7625pt\" style=\"vertical-align:-5.47417pt\" version=\"1.1\" viewbox=\"40.9171838 -9.28833 9.687 14.7625\" width=\"9.687pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,40.967,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,47.69,0)\"><use xlink:href=\"#g113-45\"></use></g></svg><span></span><svg height=\"14.7625pt\" style=\"vertical-align:-5.47417pt\" version=\"1.1\" viewbox=\"52.783183799999996 -9.28833 9.974 14.7625\" width=\"9.974pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,52.833,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,59.843,0)\"></path></g></svg><span></span><svg height=\"14.7625pt\" style=\"vertical-align:-5.47417pt\" version=\"1.1\" viewbox=\"64.93618380000001 -9.28833 13.221 14.7625\" width=\"13.221pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,64.986,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,75.243,0)\"><use xlink:href=\"#g113-45\"></use></g></svg><span></span><svg height=\"14.7625pt\" style=\"vertical-align:-5.47417pt\" version=\"1.1\" viewbox=\"80.3361838 -9.28833 10.347 14.7625\" width=\"10.347pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,80.386,0)\"><use xlink:href=\"#g113-107\"></use></g><g transform=\"matrix(.013,0,0,-0.013,85.886,0)\"><use xlink:href=\"#g113-42\"></use></g></svg></span> concerning with <svg height=\"6.1673pt\" style=\"vertical-align:-0.2063904pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 10.3951 6.1673\" width=\"10.3951pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-110\"></use></g></svg> different boundary points is defined and discussed. Moreover, some interesting problems of <span><svg height=\"14.7625pt\" style=\"vertical-align:-5.47417pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 38.788 14.7625\" width=\"38.788pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g198-21\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,11.856,3.132)\"><use xlink:href=\"#g50-113\"></use></g><g transform=\"matrix(.013,0,0,-0.013,17.807,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,22.305,0)\"><use xlink:href=\"#g113-225\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,27.973,3.132)\"><use xlink:href=\"#g50-110\"></use></g><g transform=\"matrix(.013,0,0,-0.013,35.824,0)\"><use xlink:href=\"#g113-45\"></use></g></svg><span></span><svg height=\"14.7625pt\" style=\"vertical-align:-5.47417pt\" version=\"1.1\" viewbox=\"40.9171838 -9.28833 9.687 14.7625\" width=\"9.687pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,40.967,0)\"><use xlink:href=\"#g113-226\"></use></g><g transform=\"matrix(.013,0,0,-0.013,47.69,0)\"><use xlink:href=\"#g113-45\"></use></g></svg><span></span><svg height=\"14.7625pt\" style=\"vertical-align:-5.47417pt\" version=\"1.1\" viewbox=\"52.783183799999996 -9.28833 9.974 14.7625\" width=\"9.974pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,52.833,0)\"><use xlink:href=\"#g113-239\"></use></g><g transform=\"matrix(.013,0,0,-0.013,59.843,0)\"><use xlink:href=\"#g113-60\"></use></g></svg><span></span><svg height=\"14.7625pt\" style=\"vertical-align:-5.47417pt\" version=\"1.1\" viewbox=\"64.93618380000001 -9.28833 13.221 14.7625\" width=\"13.221pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,64.986,0)\"><use xlink:href=\"#g113-110\"></use></g><g transform=\"matrix(.013,0,0,-0.013,75.243,0)\"><use xlink:href=\"#g113-45\"></use></g></svg><span></span><svg height=\"14.7625pt\" style=\"vertical-align:-5.47417pt\" version=\"1.1\" viewbox=\"80.3361838 -9.28833 10.347 14.7625\" width=\"10.347pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,80.386,0)\"><use xlink:href=\"#g113-107\"></use></g><g transform=\"matrix(.013,0,0,-0.013,85.886,0)\"><use xlink:href=\"#g113-42\"></use></g></svg></span> associated with <svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 37.4604 14.8173\" width=\"37.4604pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g198-16\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,8.996,3.132)\"><use xlink:href=\"#g50-107\"></use></g><g transform=\"matrix(.013,0,0,-0.013,13.422,0)\"><use xlink:href=\"#g113-103\"></use></g><g transform=\"matrix(.013,0,0,-0.013,21.774,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,26.272,0)\"><use xlink:href=\"#g113-123\"></use></g><g transform=\"matrix(.013,0,0,-0.013,32.747,0)\"><use xlink:href=\"#g113-42\"></use></g></svg> are obtained. Furthermore, some interesting examples for our results are considered.","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":null,"pages":null},"PeriodicalIF":1.9000,"publicationDate":"2024-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New Integral Operator for Analytic Functions\",\"authors\":\"H. Özlem Güney, Shigeyoshi Owa, Adel A. Attiya\",\"doi\":\"10.1155/2024/5295531\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let <svg height=\\\"14.7625pt\\\" style=\\\"vertical-align:-5.47417pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 31.9134 14.7625\\\" width=\\\"31.9134pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"></path></g><g transform=\\\"matrix(.0091,0,0,-0.0091,10.244,3.132)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,16.195,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,20.693,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,27.219,0)\\\"></path></g></svg> be the class of functions <svg height=\\\"12.7178pt\\\" style=\\\"vertical-align:-3.42947pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 24.0049 12.7178\\\" width=\\\"24.0049pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,8.352,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,12.85,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,19.325,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g></svg> given by <span><svg height=\\\"17.0656pt\\\" style=\\\"vertical-align:-5.474199pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -11.5914 35.086 17.0656\\\" width=\\\"35.086pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g113-103\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,8.352,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,12.85,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,19.325,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,27.455,0)\\\"></path></g></svg><span></span><svg height=\\\"17.0656pt\\\" style=\\\"vertical-align:-5.474199pt\\\" version=\\\"1.1\\\" viewbox=\\\"38.6681838 -11.5914 22.963 17.0656\\\" width=\\\"22.963pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,38.718,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,45.193,-5.741)\\\"><use xlink:href=\\\"#g50-113\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,54.05,0)\\\"></path></g></svg><span></span><svg height=\\\"17.0656pt\\\" style=\\\"vertical-align:-5.474199pt\\\" version=\\\"1.1\\\" viewbox=\\\"64.5361838 -11.5914 55.423 17.0656\\\" width=\\\"55.423pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,64.586,0)\\\"></path></g><g transform=\\\"matrix(.0091,0,0,-0.0091,70.579,3.132)\\\"><use xlink:href=\\\"#g50-113\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,76.013,3.132)\\\"></path></g><g transform=\\\"matrix(.0091,0,0,-0.0091,81.573,3.132)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,86.788,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,93.263,-5.741)\\\"><use xlink:href=\\\"#g50-113\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,98.697,-5.741)\\\"><use xlink:href=\\\"#g54-36\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,104.257,-5.741)\\\"><use xlink:href=\\\"#g50-111\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,112.378,0)\\\"><use xlink:href=\\\"#g117-36\\\"></use></g></svg><span></span><svg height=\\\"17.0656pt\\\" style=\\\"vertical-align:-5.474199pt\\\" version=\\\"1.1\\\" viewbox=\\\"122.8641838 -11.5914 75.481 17.0656\\\" width=\\\"75.481pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,122.914,0)\\\"><use xlink:href=\\\"#g113-98\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,128.907,3.132)\\\"><use xlink:href=\\\"#g50-113\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,134.341,3.132)\\\"><use xlink:href=\\\"#g54-36\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,139.901,3.132)\\\"><use xlink:href=\\\"#g50-111\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,144.56,3.132)\\\"><use xlink:href=\\\"#g54-36\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,150.12,3.132)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,155.145,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,161.62,-5.741)\\\"><use xlink:href=\\\"#g50-113\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,167.054,-5.741)\\\"><use xlink:href=\\\"#g54-36\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,172.614,-5.741)\\\"><use xlink:href=\\\"#g50-111\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,177.273,-5.741)\\\"><use xlink:href=\\\"#g54-36\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,182.833,-5.741)\\\"><use xlink:href=\\\"#g50-50\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,190.764,0)\\\"><use xlink:href=\\\"#g117-36\\\"></use></g></svg><span></span><svg height=\\\"17.0656pt\\\" style=\\\"vertical-align:-5.474199pt\\\" version=\\\"1.1\\\" viewbox=\\\"201.2501838 -11.5914 15.873 17.0656\\\" width=\\\"15.873pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,201.3,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,206.443,0)\\\"><use xlink:href=\\\"#g113-46\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,211.586,0)\\\"><use xlink:href=\\\"#g113-46\\\"></use></g></svg></span> which are analytic in the open unit disk <span><svg height=\\\"8.92059pt\\\" style=\\\"vertical-align:-0.2325001pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -8.68809 12.183 8.92059\\\" width=\\\"12.183pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,9.074,0)\\\"></path></g></svg><span></span></span> For <span><svg height=\\\"14.7625pt\\\" style=\\\"vertical-align:-5.47417pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 34.319 14.7625\\\" width=\\\"34.319pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g113-103\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,8.352,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,12.85,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,19.325,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,27.455,0)\\\"></path></g></svg><span></span><span><svg height=\\\"14.7625pt\\\" style=\\\"vertical-align:-5.47417pt\\\" version=\\\"1.1\\\" viewbox=\\\"37.9011838 -9.28833 32.021 14.7625\\\" width=\\\"32.021pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,37.951,0)\\\"><use xlink:href=\\\"#g113-66\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,48.195,3.132)\\\"><use xlink:href=\\\"#g50-113\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,54.146,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,58.644,0)\\\"><use xlink:href=\\\"#g113-111\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,65.17,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g></svg>,</span></span> new integral operators <svg height=\\\"14.8173pt\\\" style=\\\"vertical-align:-5.52897pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 43.0414 14.8173\\\" width=\\\"43.0414pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"></path></g><g transform=\\\"matrix(.0091,0,0,-0.0091,8.996,3.132)\\\"></path></g><g transform=\\\"matrix(.0091,0,0,-0.0091,14.556,3.132)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,19.003,0)\\\"><use xlink:href=\\\"#g113-103\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,27.355,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,31.853,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,38.328,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g></svg> and <svg height=\\\"14.8173pt\\\" style=\\\"vertical-align:-5.52897pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 37.4604 14.8173\\\" width=\\\"37.4604pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g198-16\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,8.996,3.132)\\\"><use xlink:href=\\\"#g50-107\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,13.422,0)\\\"><use xlink:href=\\\"#g113-103\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,21.774,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,26.272,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,32.747,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g></svg> <span><svg height=\\\"12.7178pt\\\" style=\\\"vertical-align:-3.42947pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 21.261 12.7178\\\" width=\\\"21.261pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,4.498,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,13.63,0)\\\"><use xlink:href=\\\"#g117-34\\\"></use></g></svg><span></span><svg height=\\\"12.7178pt\\\" style=\\\"vertical-align:-3.42947pt\\\" version=\\\"1.1\\\" viewbox=\\\"24.843183800000002 -9.28833 9.204 12.7178\\\" width=\\\"9.204pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,24.893,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,31.133,0)\\\"></path></g></svg><span></span><svg height=\\\"12.7178pt\\\" style=\\\"vertical-align:-3.42947pt\\\" version=\\\"1.1\\\" viewbox=\\\"36.2261838 -9.28833 9.204 12.7178\\\" width=\\\"9.204pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,36.276,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,42.516,0)\\\"><use xlink:href=\\\"#g113-45\\\"></use></g></svg><span></span><svg height=\\\"12.7178pt\\\" style=\\\"vertical-align:-3.42947pt\\\" version=\\\"1.1\\\" viewbox=\\\"47.6091838 -9.28833 9.204 12.7178\\\" width=\\\"9.204pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,47.659,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,53.899,0)\\\"><use xlink:href=\\\"#g113-45\\\"></use></g></svg><span></span><svg height=\\\"12.7178pt\\\" style=\\\"vertical-align:-3.42947pt\\\" version=\\\"1.1\\\" viewbox=\\\"58.9921838 -9.28833 20.606 12.7178\\\" width=\\\"20.606pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,59.042,0)\\\"><use xlink:href=\\\"#g113-46\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,64.185,0)\\\"><use xlink:href=\\\"#g113-46\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,69.328,0)\\\"><use xlink:href=\\\"#g113-46\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,76.684,0)\\\"><use xlink:href=\\\"#g113-47\\\"></use></g></svg><span></span><svg height=\\\"12.7178pt\\\" style=\\\"vertical-align:-3.42947pt\\\" version=\\\"1.1\\\" viewbox=\\\"79.5981838 -9.28833 4.794 12.7178\\\" width=\\\"4.794pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,79.648,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g></svg></span> are considered. The operators <svg height=\\\"14.8173pt\\\" style=\\\"vertical-align:-5.52897pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 43.0414 14.8173\\\" width=\\\"43.0414pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g198-16\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,8.996,3.132)\\\"><use xlink:href=\\\"#g54-33\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,14.556,3.132)\\\"><use xlink:href=\\\"#g50-107\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,19.003,0)\\\"><use xlink:href=\\\"#g113-103\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,27.355,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,31.853,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,38.328,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g></svg> and <svg height=\\\"14.8173pt\\\" style=\\\"vertical-align:-5.52897pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 37.4604 14.8173\\\" width=\\\"37.4604pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g198-16\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,8.996,3.132)\\\"><use xlink:href=\\\"#g50-107\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,13.422,0)\\\"><use xlink:href=\\\"#g113-103\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,21.774,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,26.272,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,32.747,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g></svg> satisfy <span><svg height=\\\"14.8173pt\\\" style=\\\"vertical-align:-5.52897pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 76.507 14.8173\\\" width=\\\"76.507pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g198-16\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,8.996,3.132)\\\"><use xlink:href=\\\"#g50-107\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,13.422,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,17.92,0)\\\"><use xlink:href=\\\"#g198-16\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,26.916,3.132)\\\"><use xlink:href=\\\"#g54-33\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,32.476,3.132)\\\"><use xlink:href=\\\"#g50-107\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,36.922,0)\\\"><use xlink:href=\\\"#g113-103\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,45.275,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,49.773,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,56.248,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,60.746,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,68.876,0)\\\"><use xlink:href=\\\"#g117-34\\\"></use></g></svg><span></span><svg height=\\\"14.8173pt\\\" style=\\\"vertical-align:-5.52897pt\\\" version=\\\"1.1\\\" viewbox=\\\"80.08818380000001 -9.28833 76.507 14.8173\\\" width=\\\"76.507pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,80.138,0)\\\"><use xlink:href=\\\"#g198-16\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,89.135,3.132)\\\"><use xlink:href=\\\"#g54-33\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,94.695,3.132)\\\"><use xlink:href=\\\"#g50-107\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,99.141,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,103.639,0)\\\"><use xlink:href=\\\"#g198-16\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,112.635,3.132)\\\"><use xlink:href=\\\"#g50-107\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,117.061,0)\\\"><use xlink:href=\\\"#g113-103\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,125.413,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,129.911,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,136.386,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,140.884,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,149.014,0)\\\"><use xlink:href=\\\"#g117-34\\\"></use></g></svg><span></span><svg height=\\\"14.8173pt\\\" style=\\\"vertical-align:-5.52897pt\\\" version=\\\"1.1\\\" viewbox=\\\"160.22718379999998 -9.28833 24.429 14.8173\\\" width=\\\"24.429pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,160.277,0)\\\"><use xlink:href=\\\"#g113-103\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,168.629,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,173.127,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,179.602,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g></svg></span> and <span><svg height=\\\"14.8173pt\\\" style=\\\"vertical-align:-5.52897pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 34.037 14.8173\\\" width=\\\"34.037pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,4.498,0)\\\"><use xlink:href=\\\"#g198-16\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,13.494,3.132)\\\"><use xlink:href=\\\"#g54-33\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,19.054,3.132)\\\"><use xlink:href=\\\"#g50-107\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,26.406,0)\\\"></path></g></svg><span></span><svg height=\\\"14.8173pt\\\" style=\\\"vertical-align:-5.52897pt\\\" version=\\\"1.1\\\" viewbox=\\\"36.893183799999996 -9.28833 53.006 14.8173\\\" width=\\\"53.006pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,36.943,0)\\\"><use xlink:href=\\\"#g198-16\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,45.939,3.132)\\\"><use xlink:href=\\\"#g50-107\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,50.364,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,54.862,0)\\\"><use xlink:href=\\\"#g113-103\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,63.215,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,67.713,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,74.188,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,82.318,0)\\\"><use xlink:href=\\\"#g117-34\\\"></use></g></svg><span></span><svg height=\\\"14.8173pt\\\" style=\\\"vertical-align:-5.52897pt\\\" version=\\\"1.1\\\" viewbox=\\\"93.5301838 -9.28833 28.457 14.8173\\\" width=\\\"28.457pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,93.58,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,98.078,0)\\\"><use xlink:href=\\\"#g198-16\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,107.075,3.132)\\\"><use xlink:href=\\\"#g50-107\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,114.406,0)\\\"><use xlink:href=\\\"#g113-43\\\"></use></g></svg><span></span><svg height=\\\"14.8173pt\\\" style=\\\"vertical-align:-5.52897pt\\\" version=\\\"1.1\\\" viewbox=\\\"124.8921838 -9.28833 58.587 14.8173\\\" width=\\\"58.587pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,124.942,0)\\\"><use xlink:href=\\\"#g198-16\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,133.938,3.132)\\\"><use xlink:href=\\\"#g54-33\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,139.498,3.132)\\\"><use xlink:href=\\\"#g50-107\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,143.945,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,148.443,0)\\\"><use xlink:href=\\\"#g113-103\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,156.795,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,161.293,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,167.768,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,175.898,0)\\\"><use xlink:href=\\\"#g117-34\\\"></use></g></svg><span></span><svg height=\\\"14.8173pt\\\" style=\\\"vertical-align:-5.52897pt\\\" version=\\\"1.1\\\" viewbox=\\\"187.1111838 -9.28833 23.387 14.8173\\\" width=\\\"23.387pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,187.161,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,191.659,0)\\\"><use xlink:href=\\\"#g113-103\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,202.917,0)\\\"><use xlink:href=\\\"#g113-43\\\"></use></g></svg><span></span><svg height=\\\"14.8173pt\\\" style=\\\"vertical-align:-5.52897pt\\\" version=\\\"1.1\\\" viewbox=\\\"213.4031838 -9.28833 29.071 14.8173\\\" width=\\\"29.071pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,213.453,0)\\\"><use xlink:href=\\\"#g113-103\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,221.805,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,226.303,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,230.801,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,237.276,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g></svg></span> for the convolution <svg height=\\\"6.01072pt\\\" style=\\\"vertical-align:-0.04980993pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -5.96091 7.75925 6.01072\\\" width=\\\"7.75925pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g113-43\\\"></use></g></svg> of <svg height=\\\"14.8173pt\\\" style=\\\"vertical-align:-5.52897pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 43.0414 14.8173\\\" width=\\\"43.0414pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g198-16\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,8.996,3.132)\\\"><use xlink:href=\\\"#g54-33\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,14.556,3.132)\\\"><use xlink:href=\\\"#g50-107\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,19.003,0)\\\"><use xlink:href=\\\"#g113-103\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,27.355,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,31.853,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,38.328,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g></svg> and <span><svg height=\\\"14.8173pt\\\" style=\\\"vertical-align:-5.52897pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 40.436 14.8173\\\" width=\\\"40.436pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g198-16\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,8.996,3.132)\\\"><use xlink:href=\\\"#g50-107\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,13.422,0)\\\"><use xlink:href=\\\"#g113-103\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,21.774,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,26.272,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,32.747,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,37.245,0)\\\"><use xlink:href=\\\"#g113-47\\\"></use></g></svg><span></span></span> In the present paper, the dominants for both operators <svg height=\\\"14.8173pt\\\" style=\\\"vertical-align:-5.52897pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 43.0414 14.8173\\\" width=\\\"43.0414pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g198-16\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,8.996,3.132)\\\"><use xlink:href=\\\"#g54-33\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,14.556,3.132)\\\"><use xlink:href=\\\"#g50-107\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,19.003,0)\\\"><use xlink:href=\\\"#g113-103\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,27.355,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,31.853,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,38.328,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g></svg> and <svg height=\\\"14.8173pt\\\" style=\\\"vertical-align:-5.52897pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 37.4604 14.8173\\\" width=\\\"37.4604pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g198-16\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,8.996,3.132)\\\"><use xlink:href=\\\"#g50-107\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,13.422,0)\\\"><use xlink:href=\\\"#g113-103\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,21.774,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,26.272,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,32.747,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g></svg> and subordinations for <svg height=\\\"14.8173pt\\\" style=\\\"vertical-align:-5.52897pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 43.0414 14.8173\\\" width=\\\"43.0414pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g198-16\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,8.996,3.132)\\\"><use xlink:href=\\\"#g54-33\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,14.556,3.132)\\\"><use xlink:href=\\\"#g50-107\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,19.003,0)\\\"><use xlink:href=\\\"#g113-103\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,27.355,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,31.853,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,38.328,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g></svg> and <svg height=\\\"14.8173pt\\\" style=\\\"vertical-align:-5.52897pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 37.4604 14.8173\\\" width=\\\"37.4604pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g198-16\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,8.996,3.132)\\\"><use xlink:href=\\\"#g50-107\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,13.422,0)\\\"><use xlink:href=\\\"#g113-103\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,21.774,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,26.272,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,32.747,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g></svg> are discussed. Also, new subclass <span><svg height=\\\"14.7625pt\\\" style=\\\"vertical-align:-5.47417pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 38.788 14.7625\\\" width=\\\"38.788pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"></path></g><g transform=\\\"matrix(.0091,0,0,-0.0091,11.856,3.132)\\\"><use xlink:href=\\\"#g50-113\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,17.807,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,22.305,0)\\\"></path></g><g transform=\\\"matrix(.0091,0,0,-0.0091,27.973,3.132)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,35.824,0)\\\"><use xlink:href=\\\"#g113-45\\\"></use></g></svg><span></span><svg height=\\\"14.7625pt\\\" style=\\\"vertical-align:-5.47417pt\\\" version=\\\"1.1\\\" viewbox=\\\"40.9171838 -9.28833 9.687 14.7625\\\" width=\\\"9.687pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,40.967,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,47.69,0)\\\"><use xlink:href=\\\"#g113-45\\\"></use></g></svg><span></span><svg height=\\\"14.7625pt\\\" style=\\\"vertical-align:-5.47417pt\\\" version=\\\"1.1\\\" viewbox=\\\"52.783183799999996 -9.28833 9.974 14.7625\\\" width=\\\"9.974pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,52.833,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,59.843,0)\\\"></path></g></svg><span></span><svg height=\\\"14.7625pt\\\" style=\\\"vertical-align:-5.47417pt\\\" version=\\\"1.1\\\" viewbox=\\\"64.93618380000001 -9.28833 13.221 14.7625\\\" width=\\\"13.221pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,64.986,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,75.243,0)\\\"><use xlink:href=\\\"#g113-45\\\"></use></g></svg><span></span><svg height=\\\"14.7625pt\\\" style=\\\"vertical-align:-5.47417pt\\\" version=\\\"1.1\\\" viewbox=\\\"80.3361838 -9.28833 10.347 14.7625\\\" width=\\\"10.347pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,80.386,0)\\\"><use xlink:href=\\\"#g113-107\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,85.886,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g></svg></span> concerning with <svg height=\\\"6.1673pt\\\" style=\\\"vertical-align:-0.2063904pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -5.96091 10.3951 6.1673\\\" width=\\\"10.3951pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g113-110\\\"></use></g></svg> different boundary points is defined and discussed. Moreover, some interesting problems of <span><svg height=\\\"14.7625pt\\\" style=\\\"vertical-align:-5.47417pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 38.788 14.7625\\\" width=\\\"38.788pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g198-21\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,11.856,3.132)\\\"><use xlink:href=\\\"#g50-113\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,17.807,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,22.305,0)\\\"><use xlink:href=\\\"#g113-225\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,27.973,3.132)\\\"><use xlink:href=\\\"#g50-110\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,35.824,0)\\\"><use xlink:href=\\\"#g113-45\\\"></use></g></svg><span></span><svg height=\\\"14.7625pt\\\" style=\\\"vertical-align:-5.47417pt\\\" version=\\\"1.1\\\" viewbox=\\\"40.9171838 -9.28833 9.687 14.7625\\\" width=\\\"9.687pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,40.967,0)\\\"><use xlink:href=\\\"#g113-226\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,47.69,0)\\\"><use xlink:href=\\\"#g113-45\\\"></use></g></svg><span></span><svg height=\\\"14.7625pt\\\" style=\\\"vertical-align:-5.47417pt\\\" version=\\\"1.1\\\" viewbox=\\\"52.783183799999996 -9.28833 9.974 14.7625\\\" width=\\\"9.974pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,52.833,0)\\\"><use xlink:href=\\\"#g113-239\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,59.843,0)\\\"><use xlink:href=\\\"#g113-60\\\"></use></g></svg><span></span><svg height=\\\"14.7625pt\\\" style=\\\"vertical-align:-5.47417pt\\\" version=\\\"1.1\\\" viewbox=\\\"64.93618380000001 -9.28833 13.221 14.7625\\\" width=\\\"13.221pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,64.986,0)\\\"><use xlink:href=\\\"#g113-110\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,75.243,0)\\\"><use xlink:href=\\\"#g113-45\\\"></use></g></svg><span></span><svg height=\\\"14.7625pt\\\" style=\\\"vertical-align:-5.47417pt\\\" version=\\\"1.1\\\" viewbox=\\\"80.3361838 -9.28833 10.347 14.7625\\\" width=\\\"10.347pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,80.386,0)\\\"><use xlink:href=\\\"#g113-107\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,85.886,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g></svg></span> associated with <svg height=\\\"14.8173pt\\\" style=\\\"vertical-align:-5.52897pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 37.4604 14.8173\\\" width=\\\"37.4604pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g198-16\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,8.996,3.132)\\\"><use xlink:href=\\\"#g50-107\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,13.422,0)\\\"><use xlink:href=\\\"#g113-103\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,21.774,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,26.272,0)\\\"><use xlink:href=\\\"#g113-123\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,32.747,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g></svg> are obtained. Furthermore, some interesting examples for our results are considered.\",\"PeriodicalId\":15840,\"journal\":{\"name\":\"Journal of Function Spaces\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2024-01-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Function Spaces\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1155/2024/5295531\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Function Spaces","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1155/2024/5295531","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
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