{"title":"ON SOME REGULARITY PROPERTIES OF THE HARDY-LITTLEWOOD MAXIMAL OPERATOR","authors":"Berenger AKON KPATA","doi":"10.54379/jma-2022-1-3","DOIUrl":null,"url":null,"abstract":"In this paper, we establish some regularity properties of the HardyLittlewood maximal operator including its boundedness on some subspaces of a Morrey-Sobolev space and a pointwise inequality involving the weak derivative of the maximal function.","PeriodicalId":45467,"journal":{"name":"Journal of Mathematical Analysis","volume":" ","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2022-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.54379/jma-2022-1-3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we establish some regularity properties of the HardyLittlewood maximal operator including its boundedness on some subspaces of a Morrey-Sobolev space and a pointwise inequality involving the weak derivative of the maximal function.