加权Morrey空间上带有加权Lipschitz函数的极大函数和锐函数的换易子

arXiv (Cornell University) Pub Date : 2023-09-05 DOI:10.48550/arxiv.2309.02192

Zhang, Pu, Fan, Di

{"title":"加权Morrey空间上带有加权Lipschitz函数的极大函数和锐函数的换易子","authors":"Zhang, Pu, Fan, Di","doi":"10.48550/arxiv.2309.02192","DOIUrl":null,"url":null,"abstract":"We study the boundedness of commutators of the Hardy-Littlewood maximal function and the sharp maximal function on weighted Morrey spaces when the symbols of the commutators belong to weighted Lipschitz spaces. Some new characterizations for weighted Lipschitz functions are obtained in term of the boundedness of the commutators.","PeriodicalId":496270,"journal":{"name":"arXiv (Cornell University)","volume":"66 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Commutators for the maximal and sharp functions with weighted Lipschitz\\n functions on weighted Morrey spaces\",\"authors\":\"Zhang, Pu, Fan, Di\",\"doi\":\"10.48550/arxiv.2309.02192\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the boundedness of commutators of the Hardy-Littlewood maximal function and the sharp maximal function on weighted Morrey spaces when the symbols of the commutators belong to weighted Lipschitz spaces. Some new characterizations for weighted Lipschitz functions are obtained in term of the boundedness of the commutators.\",\"PeriodicalId\":496270,\"journal\":{\"name\":\"arXiv (Cornell University)\",\"volume\":\"66 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-09-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv (Cornell University)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.48550/arxiv.2309.02192\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv (Cornell University)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.48550/arxiv.2309.02192","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

当对易子的符号属于加权Lipschitz空间时，研究了Hardy-Littlewood极大函数和尖锐极大函数在加权Morrey空间上的对易子的有界性。利用对易子的有界性，得到了加权Lipschitz函数的一些新的表征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Commutators for the maximal and sharp functions with weighted Lipschitz functions on weighted Morrey spaces

We study the boundedness of commutators of the Hardy-Littlewood maximal function and the sharp maximal function on weighted Morrey spaces when the symbols of the commutators belong to weighted Lipschitz spaces. Some new characterizations for weighted Lipschitz functions are obtained in term of the boundedness of the commutators.

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

arXiv (Cornell University)

自引率

0.00%

发文量