Carleson Measures and Toeplitz Operators Between Bergman Spaces on the Siegel Upper Half-space

被引：0

作者：

Jiajia Si

Yi Zhang

Lifang Zhou

机构：

[1] Hainan University,School of Science

[2] Huzhou University,Department of Mathematics

来源：

Complex Analysis and Operator Theory | 2022年 / 16卷

关键词：

Carleson measure; Toeplitz operator; Bergman space; Siegel upper half-space; 47B35; 32A36;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

On the setting of the Siegel upper half-space we study (p, q)-Carleson and vanishing (p, q)-Carleson measures, and use them to characterize bounded and compact positive Toeplitz operators between Bergman spaces.

引用

共 50 条

[1] Carleson Measures and Toeplitz Operators Between Bergman Spaces on the Siegel Upper Half-space
Si, Jiajia
Zhang, Yi
Zhou, Lifang
COMPLEX ANALYSIS AND OPERATOR THEORY, 2022, 16 (03)
[2] Positive Toeplitz Operators on the Bergman Spaces of the Siegel Upper Half-Space
Congwen Liu
Jiajia Si
Communications in Mathematics and Statistics, 2020, 8 : 113 - 134
[3] Positive Toeplitz Operators on the Bergman Spaces of the Siegel Upper Half-Space
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Si, Jiajia
COMMUNICATIONS IN MATHEMATICS AND STATISTICS, 2020, 8 (01) : 113 - 134
[4] Schatten class positive Toeplitz operators on Bergman spaces of the Siegel upper half-space
Jiajia Si
Monatshefte für Mathematik, 2021, 196 : 335 - 355
[5] Schatten class positive Toeplitz operators on Bergman spaces of the Siegel upper half-space
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MONATSHEFTE FUR MATHEMATIK, 2021, 196 (02): : 335 - 355
[6] Carleson measures for Hardy-Sobolev spaces in the Siegel upper half-space
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Lamberti, G.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 540 (02)
[7] BMO and Hankel Operators on Bergman Space of the Siegel Upper Half-Space
Si, Jiajia
COMPLEX ANALYSIS AND OPERATOR THEORY, 2022, 16 (02)
[8] BMO and Hankel Operators on Bergman Space of the Siegel Upper Half-Space
Jiajia Si
Complex Analysis and Operator Theory, 2022, 16
[9] Carleson Measures and Toeplitz Operators on Small Bergman Spaces on the Ball
Van An Le
Czechoslovak Mathematical Journal, 2021, 71 : 211 - 229
[10] Carleson Measures and Toeplitz Operators on Small Bergman Spaces on the Ball
Le, Van An
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021, 71 (01) : 211 - 229

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