Heisenberg群上hardy型算子的混合径向-角界

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-04-24 DOI:10.3934/math.20231070

Zhongci Hang, Xiang Li, D. Yan

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引用次数: 1

摘要

本文研究了海森堡群上混合径向角空间中的$n$维Hardy算子及其对偶，并利用旋转方法得到了它们的锐界。此外，还得到了$n$维加权Hardy算子和加权Cesàro算子的锐界。

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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Mixed radial-angular bounds for Hardy-type operators on Heisenberg group

In this paper, we study $ n $-dimensional Hardy operator and its dual in mixed radial-angular spaces on Heisenberg group and obtain their sharp bounds by using the rotation method. Furthermore, the sharp bounds of $ n $-dimensional weighted Hardy operator and weighted Cesàro operator are also 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.