加权 Choquet 积分最大函数的有界性

IF 1.1 2区数学 Q1 MATHEMATICS

Banach Journal of Mathematical Analysis Pub Date : 2024-01-16 DOI:10.1007/s43037-023-00317-7

Keng Hao Ooi

引用次数: 0

摘要

我们研究了哈代-利特尔伍德最大函数在与加权贝塞尔和里兹能力相关的乔奎特积分定义的空间上的有界性。因此，我们得到了一类加权索波列夫不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Boundedness of maximal function for weighted Choquet integrals

We study the boundedness of Hardy–Littlewood maximal function on the spaces defined in terms of Choquet integrals associated with weighted Bessel and Riesz capacities. As a consequence, we obtain a class of weighted Sobolev inequalities.

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来源期刊

Banach Journal of Mathematical Analysis 数学-数学

CiteScore

2.00

自引率

8.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Banach Journal of Mathematical Analysis (Banach J. Math. Anal.) is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Banach J. Math. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and operator theory and all modern related topics. Banach J. Math. Anal. normally publishes survey articles and original research papers numbering 15 pages or more in the journal’s style. Shorter papers may be submitted to the Annals of Functional Analysis or Advances in Operator Theory.