A note on local capacitary maximal functions

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2024-09-27 DOI:10.1007/s10231-024-01505-4

Keng Hao Ooi

引用次数: 0

Abstract

We introduce a type of local Hardy-Littlewood maximal function defined in terms of Choquet integrals associated with Bessel capacities. The weak and strong types estimates will be justified. As an application, we obtain a capacitary type of Lebesgue differentiation theorem.

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局部容量极大函数的注释

我们引入了一类局部Hardy-Littlewood极大函数，用与贝塞尔能力相关的Choquet积分来定义。弱类型和强类型的估计是合理的。作为应用，我们得到了勒贝格微分定理的容型。

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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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

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