{"title":"变指数加权Herz空间上变核Littlewood-Paley算子的有界性","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":"{\"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}","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}
Boundedness of Littlewood-Paley Operators with Variable Kernel on Weighted Herz Spaces with Variable Exponent
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.