广义加权Orlicz-Morrey空间上的Calderon-Zygmund算子及其对易子

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2022-04-29 DOI:10.1142/s1664360722500047

F. Deringoz, V. Guliyev, M. Omarova, M. Ragusa

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引用次数: 4

摘要

本文给出了广义加权Orlicz-Morrey空间中Calder´on-Zygmund算子弱/强有界性的充分必要条件。我们还研究了这些空间上Calder´on- zygmund算子的对易子的有界性。此外，给出了向量值集合中Calder´on-Zygmund算子的有界性。

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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Calderon-Zygmund operators and their commutators on generalized weighted Orlicz-Morrey spaces

In this paper, we obtain the necessary and suﬃcient conditions for the weak/strong boundedness of the Calder´on-Zygmund operators in generalized weighted Orlicz-Morrey spaces. We also study the boundedness of the commutators of Calder´on-Zygmund operators on these spaces. Moreover, the boundedness of Calder´on-Zygmund operators in the vector-valued set-ting is given.

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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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