{"title":"Boundedness of the Multilinear Maximal Operator with the Hausdorff Content","authors":"Shaoxue Liu, Qianjun He null, D. Yan","doi":"10.4208/ata.oa-2021-0002","DOIUrl":null,"url":null,"abstract":". In this paper, we establish the strong and weak boundedness of the multi-linear maximal operator in the setting of the Choquet integral with respect to the α - dimensional Hausdorff content. Our results cover Orobitg and Verdera’s results in [8]","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"73 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2023-06-01","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-2021-0002","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 the strong and weak boundedness of the multi-linear maximal operator in the setting of the Choquet integral with respect to the α - dimensional Hausdorff content. Our results cover Orobitg and Verdera’s results in [8]