{"title":"用小波表征的变指数赫兹-莫雷-哈代空间及其应用","authors":"Demin Yao, Kai Zhao","doi":"10.4208/ata.oa-2017-0026","DOIUrl":null,"url":null,"abstract":"In this paper, using the atomic decomposition of the Herz-Morrey-Hardy\nspaces with variable exponent, the wavelet characterization by means of a local version\nof the discrete tent spaces with variable exponent is established. As an application, the\nboundedness of the fractional integral operators from variable exponent Herz-Morrey-Hardy spaces into variable exponent Herz-Morrey spaces is obtained.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"51 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Variable Exponent Herz-Morrey-Hardy Spaces Characterized by Wavelets and Its Application\",\"authors\":\"Demin Yao, Kai Zhao\",\"doi\":\"10.4208/ata.oa-2017-0026\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, using the atomic decomposition of the Herz-Morrey-Hardy\\nspaces with variable exponent, the wavelet characterization by means of a local version\\nof the discrete tent spaces with variable exponent is established. As an application, the\\nboundedness of the fractional integral operators from variable exponent Herz-Morrey-Hardy spaces into variable exponent Herz-Morrey spaces is obtained.\",\"PeriodicalId\":29763,\"journal\":{\"name\":\"Analysis in Theory and Applications\",\"volume\":\"51 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Analysis in Theory and Applications\",\"FirstCategoryId\":\"95\",\"ListUrlMain\":\"https://doi.org/10.4208/ata.oa-2017-0026\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analysis in Theory and Applications","FirstCategoryId":"95","ListUrlMain":"https://doi.org/10.4208/ata.oa-2017-0026","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Variable Exponent Herz-Morrey-Hardy Spaces Characterized by Wavelets and Its Application
In this paper, using the atomic decomposition of the Herz-Morrey-Hardy
spaces with variable exponent, the wavelet characterization by means of a local version
of the discrete tent spaces with variable exponent is established. As an application, the
boundedness of the fractional integral operators from variable exponent Herz-Morrey-Hardy spaces into variable exponent Herz-Morrey spaces is obtained.
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