{"title":"Fractional integral operators in variable exponent Stummel spaces","authors":"Alexandre Almeida, Humberto Rafeiro","doi":"10.1007/s13324-024-01006-w","DOIUrl":null,"url":null,"abstract":"<div><p>We prove the boundedness of the fractional maximal operator and the Riesz potential operator on variable exponent Stummel spaces. The main results rely on refined uniform weighted inequalities involving special weights with non-standard growth.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 1","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analysis and Mathematical Physics","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s13324-024-01006-w","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We prove the boundedness of the fractional maximal operator and the Riesz potential operator on variable exponent Stummel spaces. The main results rely on refined uniform weighted inequalities involving special weights with non-standard growth.
期刊介绍：
Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.
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