Commuting Toeplitz operators on weighted harmonic Bergman spaces and hyponormality on the Bergman space of the punctured unit disk

被引：0

作者：

Sadraoui, Houcine ^{[1
]}

Halouani, Borhen ^{[1
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 08期

关键词：

Bergman space; Toeplitz operator; hyponormality;

D O I：

10.3934/math.2024977

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We first describe commuting Toeplitz operators with harmonic symbols on weighted harmonic Bergman spaces. Then, a su ffi cient condition for hyponormality on weighted Bergman spaces of the punctured unit disk, when the analytic part of the symbol is a monomial, is shown.

引用

页码：20043 / 20057

页数：15

共 50 条

[41] Hyponormality of Toeplitz operators on the weighted Bergman space with matrix-valued circulant symbols
Lee, Jongrak
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 576 : 35 - 50
[42] Commuting Toeplitz operators and H-Toeplitz operators on Bergman space
Ding, Qian
[J]. AIMS MATHEMATICS, 2024, 9 (01): : 2530 - 2548
[43] HYPONORMAL TOEPLITZ OPERATORS ON THE WEIGHTED BERGMAN SPACES
Hwang, In Sung
Lee, Jongrak
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2012, 15 (02): : 323 - 330
[44] TOEPLITZ-OPERATORS ON WEIGHTED BERGMAN SPACES
ELIAS, N
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 1988, 11 (03) : 310 - 331
[45] SOME TOEPLITZ OPERATORS ON WEIGHTED BERGMAN SPACES
Kang, Si Ho
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 48 (01) : 141 - 149
[46] Hyponormal Toeplitz operators on weighted Bergman spaces
Le, Trieu
Simanek, Brian
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2021, 32 (5-8) : 560 - 567
[47] Carleson Measures and Toeplitz Operators for Weighted Bergman Spaces on the Unit Ball
Pau, Jordi
Zhao, Ruhan
[J]. MICHIGAN MATHEMATICAL JOURNAL, 2015, 64 (04) : 759 - 796
[48] ON TOEPLITZ OPERATORS ON BERGMAN SPACES OF THE UNIT POLYDISK
Le, Trieu
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (01) : 275 - 285
[49] A criterion of essentially commuting Toeplitz operators on Bergman space
An, JS
[J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 1999, 20 (03) : 317 - 324
[50] Note on commuting Toeplitz operators on the pluriharmonic Bergman space
Choe, BR
Nam, KS
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2006, 43 (02) : 259 - 269

← 1 2 3 4 5 →