{"title":"准计量空间弱 Choquet 空间上的广义分数积分算子","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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-07-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.21136/cmj.2024.0133-24\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.21136/cmj.2024.0133-24","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Generalized fractional integral operators on weak Choquet spaces over quasi-metric measure spaces
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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