局部互补广义变指数加权MORREY空间中的广义加权HARDY算子及其交换子

IF 0.3 Q4 MATHEMATICS Journal of Mathematical Analysis Pub Date : 2022-03-30 DOI:10.54379/jma-2022-1-2

C. Aykol, Zuleyxa O. AZIZOVA, ,. Hasanov

{"title":"局部互补广义变指数加权MORREY空间中的广义加权HARDY算子及其交换子","authors":"C. Aykol, Zuleyxa O. AZIZOVA, ,. Hasanov","doi":"10.54379/jma-2022-1-2","DOIUrl":null,"url":null,"abstract":"In this paper we study the boundedness of weighted Hardy operators Hα u and Hα u in local ”complementary” generalized variable exponent weighted Morrey spaces {M p(·),ω,ϕ {0} , characterized by variable exponent p(x), a general function ω(r) and a weight ϕ. We also study the boundedness of the commutators of Hα u and Hα u in the spaces {M p(·),ω,ϕ {0} .","PeriodicalId":45467,"journal":{"name":"Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2022-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"GENERALIZED WEIGHTED HARDY OPERATORS AND THEIR COMMUTATORS IN THE LOCAL ”COMPLEMENTARY” GENERALIZED VARIABLE EXPONENT WEIGHTED MORREY SPACES\",\"authors\":\"C. Aykol, Zuleyxa O. AZIZOVA, ,. Hasanov\",\"doi\":\"10.54379/jma-2022-1-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we study the boundedness of weighted Hardy operators Hα u and Hα u in local ”complementary” generalized variable exponent weighted Morrey spaces {M p(·),ω,ϕ {0} , characterized by variable exponent p(x), a general function ω(r) and a weight ϕ. We also study the boundedness of the commutators of Hα u and Hα u in the spaces {M p(·),ω,ϕ {0} .\",\"PeriodicalId\":45467,\"journal\":{\"name\":\"Journal of Mathematical Analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2022-03-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.54379/jma-2022-1-2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.54379/jma-2022-1-2","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

摘要

本文研究了加权Hardy算子Hαu和Hαu在局部“互补”广义变指数加权Morrey空间{Mp（·），ω，ξ{0}中的有界性，其特征是变指数p（x），广义函数ω（r）和权。我们还研究了Hαu和Hαu的交换子在空间{Mp（·），ω，ξ{0}中的有界性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

GENERALIZED WEIGHTED HARDY OPERATORS AND THEIR COMMUTATORS IN THE LOCAL ”COMPLEMENTARY” GENERALIZED VARIABLE EXPONENT WEIGHTED MORREY SPACES

In this paper we study the boundedness of weighted Hardy operators Hα u and Hα u in local ”complementary” generalized variable exponent weighted Morrey spaces {M p(·),ω,ϕ {0} , characterized by variable exponent p(x), a general function ω(r) and a weight ϕ. We also study the boundedness of the commutators of Hα u and Hα u in the spaces {M p(·),ω,ϕ {0} .

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊