关于Hardy-Littlewood与球面极大函数之间的族

IF 0.8 4区数学 Q2 MATHEMATICS

Arkiv for Matematik Pub Date : 2020-05-05 DOI:10.4310/arkiv.2021.v59.n2.a4

Georgios Dosidis, L. Grafakos

{"title":"关于Hardy-Littlewood与球面极大函数之间的族","authors":"Georgios Dosidis, L. Grafakos","doi":"10.4310/arkiv.2021.v59.n2.a4","DOIUrl":null,"url":null,"abstract":"We study a family of maximal operators that provides a continuous link connecting the Hardy-Littlewood maximal function to the spherical maximal function. Our theorems are proved in the multilinear setting but may contain new results even in the linear case. For this family of operators we obtain bounds between Lebesgue spaces in the optimal range of exponents.","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2020-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"On families between the Hardy–Littlewood and spherical maximal functions\",\"authors\":\"Georgios Dosidis, L. Grafakos\",\"doi\":\"10.4310/arkiv.2021.v59.n2.a4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study a family of maximal operators that provides a continuous link connecting the Hardy-Littlewood maximal function to the spherical maximal function. Our theorems are proved in the multilinear setting but may contain new results even in the linear case. For this family of operators we obtain bounds between Lebesgue spaces in the optimal range of exponents.\",\"PeriodicalId\":55569,\"journal\":{\"name\":\"Arkiv for Matematik\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2020-05-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Arkiv for Matematik\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4310/arkiv.2021.v59.n2.a4\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Arkiv for Matematik","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/arkiv.2021.v59.n2.a4","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 4

摘要

我们研究了一类极大算子，它们提供了连接Hardy-Littlewood极大函数和球面极大函数的连续联系。我们的定理是在多线性情况下证明的，但在线性情况下可能包含新的结果。对于这类算子，我们在指数的最优范围内得到了勒贝格空间之间的界。

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

On families between the Hardy–Littlewood and spherical maximal functions

We study a family of maximal operators that provides a continuous link connecting the Hardy-Littlewood maximal function to the spherical maximal function. Our theorems are proved in the multilinear setting but may contain new results even in the linear case. For this family of operators we obtain bounds between Lebesgue spaces in the optimal range of exponents.

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

Arkiv for Matematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishing research papers, of short to moderate length, in all fields of mathematics.