Trace formula of semicommutators

被引：0

作者：

Tang, Xiang ^{[1
]}

Wang, Yi ^{[2
]}

Zheng, Dechao ^{[3
]}

机构：

[1] Washington Univ, Dept Math & Stat, St Louis, MO 63130 USA

[2] Chongqing Univ, Dept Math, Chongqing 400044, Peoples R China

[3] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2023年 / 285卷 / 11期

基金：

美国国家科学基金会;

关键词：

Toeplitz operator; Hankel operator; Weighted Bergman space; Semi-commutator; CLASS HANKEL-OPERATORS; INVARIANT SUBSPACES; HILBERT-SCHMIDT; BERGMAN; QUANTIZATION; ASYMPTOTICS; COMMUTATORS; KERNELS; THEOREM; SPACES;

D O I：

10.1016/j.jfa.2023.110141

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For weighted Bergman spaces on the unit disk, we give trace formulas of semicommutators of Toeplitz operators with C2(D) symbols. We generalize this formula to weighted Bergman spaces on the unit ball in higher dimensions. Applications and examples on the Hankel operators are also discussed. (c) 2023 Elsevier Inc. All rights reserved.

引用

页数：51

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