Operators commuting with complex symmetric weighted composition operators on the Fock space

In this paper, we characterize weighted composition operators commuting with complex symmetric weighted composition operators on the Fock space. We study the concrete forms of the symbol functions of such weighted composition operators and some further characterizations were provided simultaneously.

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Publication Details

Journal
Complex Variables and Elliptic Equations
Published
2026-06-18
DOI
https://doi.org/10.1080/17476933.2026.2682929
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Operators commuting with complex symmetric weighted composition operators on the Fock space

Zhiyuan Xu, Zehua Zhou, Cui Chen
Complex Variables and Elliptic Equations
Holomorphic and Operator Theory
article

Operators commuting with complex symmetric weighted composition operators on the Fock space

Zhiyuan Xu, Zehua Zhou, Cui Chen
article en

Abstract

In this paper, we characterize weighted composition operators commuting with complex symmetric weighted composition operators on the Fock space. We study the concrete forms of the symbol functions of such weighted composition operators and some further characterizations were provided simultaneously.

Complex Variables and Elliptic Equations
Tianjin University (CN), Tianjin University of Finance and Economics (CN), Dalian Maritime University (CN)
Sustainable cities and communities
Openalex Percentile: Top 3%
Holomorphic and Operator Theory
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