{"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}
引用次数: 0
Abstract
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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