REVERSE CARLESON MEASURES ON GENERALIZED FOCK SPACES*

doi:10.1007/s10473-023-0211-7

数学物理学报(英文版) ›› 2023, Vol. 43 ›› Issue (2): 655-667.doi: 10.1007/s10473-023-0211-7

REVERSE CARLESON MEASURES ON GENERALIZED FOCK SPACES^*

Guangfu Cao, Li He^†, Yiyuan Zhang

School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China

收稿日期:2021-11-23 修回日期:2022-02-07 出版日期:2023-03-25 发布日期:2023-04-12
通讯作者: †Li HE, E-mail: helichangsha1986@163.com.
作者简介:Guangfu Cao, E-mail: guangfucao@163.com; Yiyuan Zhang, E-mail: yiyuanzhang@e.gzhu.edu.cn
基金资助:
Cao was supported by the NNSF of China (12071155), He was supported by the NNSF of China (11871170), the open project of Key Laboratory, school of Mathematical Sciences, Chongqing Normal University (CSSXKFKTM202002), and Zhang was supported by the Innovation Research for the Postgraduates of Guangzhou University (2020GDJC-D08). We are co-first authos.

REVERSE CARLESON MEASURES ON GENERALIZED FOCK SPACES^*

Guangfu Cao, Li He^†, Yiyuan Zhang

School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China

Received:2021-11-23 Revised:2022-02-07 Online:2023-03-25 Published:2023-04-12
Contact: †Li HE, E-mail: helichangsha1986@163.com.
About author:Guangfu Cao, E-mail: guangfucao@163.com; Yiyuan Zhang, E-mail: yiyuanzhang@e.gzhu.edu.cn
Supported by:
Cao was supported by the NNSF of China (12071155), He was supported by the NNSF of China (11871170), the open project of Key Laboratory, school of Mathematical Sciences, Chongqing Normal University (CSSXKFKTM202002), and Zhang was supported by the Innovation Research for the Postgraduates of Guangzhou University (2020GDJC-D08). We are co-first authos.

摘要/Abstract

摘要： In this paper, we characterize reverse Carleson measures for a class of generalized Fock spaces $F_{\varphi}^{p}$, with $0<p<\infty$ and with $\varphi$ satisfying $d d^{c} \varphi \simeq \omega_{0}$. As an application of these results, we obtain several equivalent characterizations for invertible Toeplitz operators $T_{\psi}$, induced by positive bounded symbols $\psi$ on $F_{\varphi}^{2}$.

关键词: reverse Carleson measures, invertible Toeplitz operators, generalized Fock spaces

Abstract: In this paper, we characterize reverse Carleson measures for a class of generalized Fock spaces $F_{\varphi}^{p}$, with $0<p<\infty$ and with $\varphi$ satisfying $d d^{c} \varphi \simeq \omega_{0}$. As an application of these results, we obtain several equivalent characterizations for invertible Toeplitz operators $T_{\psi}$, induced by positive bounded symbols $\psi$ on $F_{\varphi}^{2}$.

Key words: reverse Carleson measures, invertible Toeplitz operators, generalized Fock spaces

Guangfu Cao, Li He, Yiyuan Zhang. REVERSE CARLESON MEASURES ON GENERALIZED FOCK SPACES^*[J]. 数学物理学报(英文版), 2023, 43(2): 655-667.

Guangfu Cao, Li He, Yiyuan Zhang. REVERSE CARLESON MEASURES ON GENERALIZED FOCK SPACES^*[J]. Acta mathematica scientia,Series B, 2023, 43(2): 655-667.

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REVERSE CARLESON MEASURES ON GENERALIZED FOCK SPACES^*

REVERSE CARLESON MEASURES ON GENERALIZED FOCK SPACES^*

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