p-adic Lebesgue 空间上尖锐最大函数换元的一些估计值

IF 1 4区数学 Q1 MATHEMATICS Open Mathematics Pub Date : 2024-01-08 DOI:10.1515/math-2023-0168

Jianglong Wu, Yunpeng Chang

引用次数: 0

摘要

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

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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来源期刊

Open Mathematics MATHEMATICS-

CiteScore

2.40

自引率

5.90%

发文量

审稿时长

16 weeks

期刊介绍： Open Mathematics - formerly Central European Journal of Mathematics Open Mathematics is a fully peer-reviewed, open access, electronic journal that publishes significant, original and relevant works in all areas of mathematics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication. Open Mathematics is listed in Thomson Reuters - Current Contents/Physical, Chemical and Earth Sciences. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind. Aims and Scope The journal aims at presenting high-impact and relevant research on topics across the full span of mathematics. Coverage includes: