Carleson measures and Berezin-type operators on Fock spaces

IF 1.1 2区数学 Q1 MATHEMATICS Banach Journal of Mathematical Analysis 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

Banach Journal of Mathematical Analysis 数学-数学

CiteScore

2.00

自引率

8.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Banach Journal of Mathematical Analysis (Banach J. Math. Anal.) is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Banach J. Math. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and operator theory and all modern related topics. Banach J. Math. Anal. normally publishes survey articles and original research papers numbering 15 pages or more in the journal’s style. Shorter papers may be submitted to the Annals of Functional Analysis or Advances in Operator Theory.

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