{"title":"Generalized fractional integral operators on weak Choquet spaces over quasi-metric measure spaces","authors":"Toshihide Futamura, Tetsu Shimomura","doi":"10.21136/cmj.2024.0133-24","DOIUrl":null,"url":null,"abstract":"<p>We prove the boundedness of the generalized fractional maximal operator <i>M</i><sub><i>α</i></sub> and the generalized fractional integral operator <i>I</i><sub><i>α</i></sub> on weak Choquet spaces with respect to Hausdorff content over quasi-metric measure spaces.</p>","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":"61 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Czechoslovak Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.21136/cmj.2024.0133-24","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We prove the boundedness of the generalized fractional maximal operator Mα and the generalized fractional integral operator Iα on weak Choquet spaces with respect to Hausdorff content over quasi-metric measure spaces.
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