Muckenhoupt条件

IF 1.6 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-09-17 DOI:10.1016/j.jfa.2025.111209

Zoe Nieraeth

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引用次数: 0

摘要

本文的目的是在拟巴拿赫函数空间的一般集中，统一加权勒贝格空间集以外的权理论。我们证明了奇异积分有界性的新刻画，提出了几个猜想，并证明了Hardy-Littlewood极大算子对偶性的部分结果。此外，我们给出了理论应用于加权变量Lebesgue， Morrey和Musielak-Orlicz空间的概述。

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The Muckenhoupt condition

The goal of this paper is to unify the theory of weights beyond the setting of weighted Lebesgue spaces in the general setting of quasi-Banach function spaces. We prove new characterizations for the boundedness of singular integrals, pose several conjectures, and prove partial results related to the duality of the Hardy-Littlewood maximal operator. Furthermore, we give an overview of the theory applied to weighted variable Lebesgue, Morrey, and Musielak-Orlicz spaces.

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis