Carleson measures and Berezin-type operators on Fock spaces

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-03-04 DOI:10.1007/s43037-024-00331-3

Lifang Zhou, Dong Zhao, Xiaomin Tang

引用次数: 0

Abstract

We characterize (vanishing) Fock–Carleson measures by products of functions in Fock spaces. We also study the boundedness of Berezin-type operators from a weighted Fock space to a Lebesgue space. Due to the special properties of Fock–Carleson measures, the boundedness of Berezin-type operators on Fock spaces is different from the corresponding results on Bergman spaces.

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Fock 空间上的卡列森度量和贝雷津类算子

我们用 Fock 空间中函数的乘积来描述（消失的）Fock-Carleson 度量。我们还研究了从加权 Fock 空间到 Lebesgue 空间的 Berezin 型算子的有界性。由于 Fock-Carleson 度量的特殊性质，Berezin 型算子在 Fock 空间上的有界性不同于 Bergman 空间上的相应结果。

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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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.