Strong type estimates of maximal functions in Choquet integral spaces associated with weighted local Riesz capacities

IF 1 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2025-06-03 DOI:10.1007/s43034-025-00442-4

Keng Hao Ooi

引用次数: 0

Abstract

The strong type boundedness of Choquet-type maximal function associated with the weighted local Riesz capacities is tackled. The weights are assumed to be of local Muckenhoupt class. The technique of proof uses interpolation and fundamental properties of nonlinear potential.

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与加权局部Riesz能力相关的Choquet积分空间中极大函数的强型估计

研究了与加权局部Riesz能力相关的choquet型极大函数的强型有界性问题。权重被假定为本地Muckenhoupt类。证明的方法是利用插值和非线性势的基本性质。

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

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. 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 all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.