Some estimates for commutators of sharp maximal function on the p-adic Lebesgue spaces

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-01-08 DOI:10.1515/math-2023-0168

Jianglong Wu, Yunpeng Chang

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引用次数: 0

Abstract

In this article, the main aim is to consider the boundedness of the nonlinear commutator of

-adic sharp maximal operator

ℳ p ♯

{{\mathcal{ {\mathcal M} }}}_{p}^{\sharp }

with symbols belonging to the

-adic Lipschitz spaces in the context of the

-adic version of (variable) Lebesgue spaces, by which some new characterizations of the Lipschitz spaces are obtained in the

-adic field context.

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p-adic Lebesgue 空间上尖锐最大函数换元的一些估计值

本文的主要目的是考虑 p p -adic 尖锐最大算子 ℳ p ♯ {\{mathcal{ {\mathcal M}}}_{p}^{\sharp } 的非线性换向器的有界性。}}}_{p}^{\sharp }，符号属于 p p -adic Lipschitz 空间的（可变）Lebesgue 空间的 p p -adic 版本，通过这些符号，可以得到 p p -adic 场背景下 Lipschitz 空间的一些新特征。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.