Trace formula of semicommutators

Xiang Tang; Yi Wang; Dechao Zheng

doi:10.1016/j.jfa.2023.110141

Trace formula of semicommutators

Xiang Tang, Yi Wang, Dechao Zheng

Department of Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	110141
Journal	Journal of Functional Analysis
Volume	285
Issue number	11
DOIs	https://doi.org/10.1016/j.jfa.2023.110141
State	Published - Dec 1 2023

Keywords

Hankel operator
Semi-commutator
Toeplitz operator
Weighted Bergman space

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10.1016/j.jfa.2023.110141

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title = "Trace formula of semicommutators",

abstract = "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.",

keywords = "Hankel operator, Semi-commutator, Toeplitz operator, Weighted Bergman space",

author = "Xiang Tang and Yi Wang and Dechao Zheng",

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year = "2023",

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T1 - Trace formula of semicommutators

AU - Tang, Xiang

AU - Wang, Yi

AU - Zheng, Dechao

PY - 2023/12/1

Y1 - 2023/12/1

N2 - 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.

AB - 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.

KW - Hankel operator

KW - Semi-commutator

KW - Toeplitz operator

KW - Weighted Bergman space

UR - http://www.scopus.com/inward/record.url?scp=85170246095&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2023.110141

DO - 10.1016/j.jfa.2023.110141

M3 - Article

AN - SCOPUS:85170246095

SN - 0022-1236

VL - 285

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 11

M1 - 110141

ER -

Trace formula of semicommutators

Abstract

Keywords

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