On Berezin type operators and Toeplitz operators on Bergman spaces

被引：2

作者：

Prajitura, Gabriel T. ^{[1
]}

Zhao, Ruhan ^{[1
]}

Zhou, Lifang ^{[2
]}

机构：

[1] SUNY Coll Brockport, Dept Math, Brockport, NY 14420 USA

[2] Huzhou Univ, Dept Math, Huzhou 31300, Zhejiang, Peoples R China

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2023年 / 17卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Berezin type operators; Toeplitz operators; Boundedness and compactness; Bergman-Carleson measures; AREA OPERATORS;

D O I：

10.1007/s43037-023-00280-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a class of integral operators called Berezin type operators. It is a generalization of the Berezin transform, and has a close relation to the Bergman-Carleson measures. The concept is partly motivated by the relationship between Hardy-Carleson measures and area operators. We mainly study the boundedness and the compactness of Berezin type operators from a Bergman space A(a1)(p1 )to a Lebesgue space L-p2 (a2) with 0 < p1, p2 = 8 and a1, a2 > -1. We also show that Berezin type operators are closely related to Toeplitz operators.

引用

页数：30

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