具有粗糙核的非交换最大算子

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-05-17 DOI:10.2140/apde.2024.17.1439

Xudong Lai

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引用次数: 0

摘要

本文致力于研究具有粗糙核的非交换最大算子。更确切地说，我们证明了具有粗糙核的非交换最大算子的弱型 (1,1) 有界性。弱型 (1,1) 估计的证明基于非交换卡尔德龙-齐格蒙分解。为了处理粗糙核，我们在证明坏函数和好函数时都使用了微局域分解。

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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Noncommutative maximal operators with rough kernels

This paper is devoted to the study of noncommutative maximal operators with rough kernels. More precisely, we prove the weak-type $(1, 1)$ boundedness for noncommutative maximal operators with rough kernels. The proof of the weak-type $(1, 1)$ estimate is based on the noncommutative Calderón–Zygmund decomposition. To deal with the rough kernel, we use the microlocal decomposition in the proofs of both the bad and good functions.

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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.

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