指数权重Bergman空间上的Fredholm和Schatten类算子

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-10-11 DOI:10.1155/2023/9436300

Xuedi Ma, Xiaofeng Wang, Jin Xia

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引用次数: 0

摘要

本文给出了Bergman空间a φ p上权重为指数的Toeplitz算子在0 <p & lt;∞。得到了A φ 2上的Toeplitz算子和Hankel算子属于h -Schatten类的充要条件，其中h是连续递增凸函数。

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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Fredholm and Schatten Class Operators on Bergman Spaces with Exponential Weights

In this paper, we give a characterization of Fredholmness of the Toeplitz operators on the Bergman spaces

A_{φ}^{p}

with exponential weights in

D

when

0 < p < \infty

. Also, we obtain the sufficient and necessary conditions which the Toeplitz and Hankel operators on

A_{φ}^{2}

belong to

h

-Schatten class, where

h

is a continuous increasing convex function.

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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.