{"title":"Bilinear Operators on Ball Banach Function Spaces","authors":"Kwok-Pun Ho","doi":"10.1007/s12220-024-01786-4","DOIUrl":null,"url":null,"abstract":"<p>This paper establishes the mapping properties of the bilinear operators on the ball Banach function spaces. The main result of this paper yields the mapping properties of the bilinear Fourier multipliers, the rough bilinear singular integrals and the bilinear Calderón–Zygmund operators on the ball Banach function spaces. As applications of the main result, we have the mapping properties of the bilinear Fourier multipliers, the rough bilinear singular integrals and the bilinear Calderón–Zygmund operators on the Morrey spaces and the Herz spaces.</p>","PeriodicalId":501200,"journal":{"name":"The Journal of Geometric Analysis","volume":"74 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Journal of Geometric Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s12220-024-01786-4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This paper establishes the mapping properties of the bilinear operators on the ball Banach function spaces. The main result of this paper yields the mapping properties of the bilinear Fourier multipliers, the rough bilinear singular integrals and the bilinear Calderón–Zygmund operators on the ball Banach function spaces. As applications of the main result, we have the mapping properties of the bilinear Fourier multipliers, the rough bilinear singular integrals and the bilinear Calderón–Zygmund operators on the Morrey spaces and the Herz spaces.
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