双复加权Bergman空间与复合算子

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-08-07 DOI:10.1007/s00006-023-01291-x

Stanzin Dolkar, Sanjay Kumar

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引用次数: 0

摘要

在本文中，我们研究了加权Bergman空间的双复数形式以及作用于它们的复合算子。我们还研究了Bergman核，对偶性质和Berezin变换。本文主要基于朱的工作（数学函数空间中的算子理论。调查与专著，第138卷，第2版。美国数学学会，普罗维登斯，2007）。

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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Bicomplex Weighted Bergman Spaces and Composition Operators

In this paper, we study the bicomplex version of weighted Bergman spaces and the composition operators acting on them. We also investigate the Bergman kernel, duality properties and Berezin transform. This paper is essentially based on the work of Zhu (Operator Theory in Function Spaces of Math. Surveys and Monographs, vol. 138, 2nd edn. American Mathematical Society, Providence, 2007).

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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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