{"title":"Sobolev-Il'in inequality for a class of generalized shift subadditive operators","authors":"S. K. Abdullayev, E. A. Mammadov","doi":"10.12988/NADE.2017.61299","DOIUrl":null,"url":null,"abstract":"We study a problem of establishment of Sobolev-Il’in inequalities type strong and weak inequalities for subadditive operators with majorizing operators from certain class of Riesz potential type integral convolutions with almost monotone kernels, generated by both ordinary and generalized shift operators, associated with Laplace-Bessel differential operator.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"148 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis and Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/NADE.2017.61299","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We study a problem of establishment of Sobolev-Il’in inequalities type strong and weak inequalities for subadditive operators with majorizing operators from certain class of Riesz potential type integral convolutions with almost monotone kernels, generated by both ordinary and generalized shift operators, associated with Laplace-Bessel differential operator.
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