微分形式的分数积分和奇异积分对易子的不等式

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-28

Jinl ng Niu, Guan an Shi, S. Ding, Yuming Xing

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引用次数: 0

摘要

．本文定义了分数阶积分算子和Calder´on- zygmund奇异积分算子在微分形式上的对易子，并给出了这些对易子在加权Lebesgue空间上有界的充分必要条件。作为应用，得到了微分形式Calder´on- zygmund奇异积分算子对易子的具有Orlicz范数的caccioppolii型不等式。

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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Inequalities for commutators of fractional integrals and singular integrals on differential forms

. In this paper, we de ﬁ ne the commutators of fractional integral operators and Calder´on-Zygmund singular integral operators on differential forms, and give the suf ﬁ cient and necessary conditions for these commutators to be bounded on weighted Lebesgue spaces. As an application, the Caccioppoli-type inequalities with Orlicz norm for commutators of Calder´on-Zygmund singular integral operators on differential forms are obtained.

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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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