Toeplitz Products on Bergman-Sobolev Spaces over the Unit Polydisk

被引：0

作者：

He, Li ^{[1
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2021年 / 37卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Bergman-Sobolev space; Toeplitz products; compactness; essential norm; Fredholmness; ESSENTIAL NORM; FREDHOLM PROPERTIES; OPERATORS;

D O I：

10.1007/s10114-021-0539-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we characterize the compactness and Fredholmness of Toeplitz operators and Toeplitz products on Bergman-Sobolev spaces over the unit polydisk. We also calculate the essential norm of finite sums of finite Toeplitz products on these spaces.

引用

页码：1349 / 1366

页数：18

共 50 条

[31] Toeplitz Algebras over Fock and Bergman Spaces
Wu, Shengkun
Zhao, Xianfeng
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2024, 73 (02) : 367 - 419
[32] (m,λ)-Berezin Transform on the Weighted Bergman Spaces over the Polydisk
Li, Ran
Lu, Yufeng
JOURNAL OF FUNCTION SPACES, 2016, 2016
[33] Products of Toeplitz operators on the polydisk
Ding, XH
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2003, 45 (04) : 389 - 403
[34] COMMUTATIVITY OF TOEPLITZ OPERATORS ON THE BERGMAN SPACES OF THE UNIT DISK
Liu, Chao Mei
OPERATORS AND MATRICES, 2020, 14 (04): : 857 - 870
[35] Products of Toeplitz Operators on the Polydisk
Xuanhao Ding
Integral Equations and Operator Theory, 2003, 45 : 389 - 403
[36] Beurling type invariant subspaces on Hardy and Bergman spaces of the unit ball or polydisk
Gu, Caixing
Luo, Shuaibing
Ma, Pan
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2025, 68 (01): : 232 - 245
[37] QUASIHOMOGENEOUS TOEPLITZ OPERATORS ON WEIGHTED BERGMAN SPACES OF THE UNIT BALL
Al-Rawashdeh, Waleed
JOURNAL OF MATHEMATICAL ANALYSIS, 2014, 5 (04): : 12 - 17
[38] COMPACT HANKEL-OPERATORS ON THE BERGMAN SPACES OF THE UNIT BALL AND POLYDISK IN CN
STROETHOFF, K
JOURNAL OF OPERATOR THEORY, 1990, 23 (01) : 153 - 170
[39] Finite Sums of Toeplitz Products on the Polydisk
Boo Rim Choe
Hyungwoon Koo
Young Joo Lee
Potential Analysis, 2009, 31 : 227 - 255
[40] Compact Sums of Toeplitz Products on Weighted Bergman and Dirichlet Spaces
Young Joo Lee
Kyunguk Na
Complex Analysis and Operator Theory, 2016, 10 : 1799 - 1809

← 1 2 3 4 5 →