{"title":"Boundedness of Littlewood-Paley Operators with Variable Kernel on Weighted Herz Spaces with Variable Exponent","authors":"Afif Abdalmonem, Omer Abdalrhman, S. Tao","doi":"10.30538/PSRP-EASL2018.0007","DOIUrl":null,"url":null,"abstract":"Let Ω ∈ L∞(Rn) × L2(Sn−1) be a homogeneous function of degree zero. In this article, we obtain some boundedness of the parameterized Littlewood−Paley operators with variable kernels on weighted Herz spaces with variable exponent.","PeriodicalId":11518,"journal":{"name":"Engineering and Applied Science Letters","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2018-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering and Applied Science Letters","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30538/PSRP-EASL2018.0007","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
Let Ω ∈ L∞(Rn) × L2(Sn−1) be a homogeneous function of degree zero. In this article, we obtain some boundedness of the parameterized Littlewood−Paley operators with variable kernels on weighted Herz spaces with variable exponent.