TOEPLITZ OPERATORS BETWEEN WEIGHTED BERGMAN SPACES OVER THE HALF-PLANE*

doi:10.1007/s10473-024-0504-5

数学物理学报(英文版) ›› 2024, Vol. 44 ›› Issue (5): 1707-1720.doi: 10.1007/s10473-024-0504-5

TOEPLITZ OPERATORS BETWEEN WEIGHTED BERGMAN SPACES OVER THE HALF-PLANE^*

Lixia Feng, Yan Li, Zhiyu Wang, Liankuo Zhao^†

School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan 030031, China

收稿日期:2023-03-17 修回日期:2024-06-06 出版日期:2024-10-25 发布日期:2024-10-22
通讯作者: †Liankuo Zhao , E-mail,: lkzhao@sxnu.edu.cn
作者简介:Lixia Feng,E-mail,: lixialx@sina.com; Yan Li,E-mail,:1873565434@qq.com; Zhiyu Wang, E-mail,:wzy13513675638@163.com
基金资助:
Zhao's research was supported by the Natural Science Foundation of China (12271134), the Shanxi Scholarship Council of China (2020-089) and the Fund Program for the Scientific Activities of Selected Returned Overseas Professionals in Shanxi Province (20200019).

TOEPLITZ OPERATORS BETWEEN WEIGHTED BERGMAN SPACES OVER THE HALF-PLANE^*

Lixia Feng, Yan Li, Zhiyu Wang, Liankuo Zhao^†

School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan 030031, China

Received:2023-03-17 Revised:2024-06-06 Online:2024-10-25 Published:2024-10-22
Contact: †Liankuo Zhao , E-mail,: lkzhao@sxnu.edu.cn
About author:Lixia Feng,E-mail,: lixialx@sina.com; Yan Li,E-mail,:1873565434@qq.com; Zhiyu Wang, E-mail,:wzy13513675638@163.com
Supported by:
Zhao's research was supported by the Natural Science Foundation of China (12271134), the Shanxi Scholarship Council of China (2020-089) and the Fund Program for the Scientific Activities of Selected Returned Overseas Professionals in Shanxi Province (20200019).

摘要/Abstract

摘要： In this paper, by characterizing Carleson measures, we investigate a class of bounded Toeplitz operator between weighted Bergman spaces with Békollé weights over the half-plane for all index choices.

关键词: weighted Bergman spaces, Békollé weights, Carleson measure, Toeplitz operators

Abstract: In this paper, by characterizing Carleson measures, we investigate a class of bounded Toeplitz operator between weighted Bergman spaces with Békollé weights over the half-plane for all index choices.

Key words: weighted Bergman spaces, Békollé weights, Carleson measure, Toeplitz operators

中图分类号:

47B35

Lixia Feng, Yan Li, Zhiyu Wang, Liankuo Zhao. TOEPLITZ OPERATORS BETWEEN WEIGHTED BERGMAN SPACES OVER THE HALF-PLANE^*[J]. 数学物理学报(英文版), 2024, 44(5): 1707-1720.

Lixia Feng, Yan Li, Zhiyu Wang, Liankuo Zhao. TOEPLITZ OPERATORS BETWEEN WEIGHTED BERGMAN SPACES OVER THE HALF-PLANE^*[J]. Acta mathematica scientia,Series B, 2024, 44(5): 1707-1720.

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TOEPLITZ OPERATORS BETWEEN WEIGHTED BERGMAN SPACES OVER THE HALF-PLANE^*

TOEPLITZ OPERATORS BETWEEN WEIGHTED BERGMAN SPACES OVER THE HALF-PLANE^*

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