Work

Commuting Toeplitz operators with harmonic symbols on the Fock space

Year: 2026

Type: preprint

Abstract: We give a counterexample to a characterization of commuting Toeplitz operators due to Bauer, Choe, and Koo [JFA, 268 (2015), 3017--3060]. We prove a corrected characterization for Toeplitz operators with harmonic symbols of exponential type on the Fock space in one complex variable.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.22136

Authors: Qin, Jie, Liu, Youqi, Huang, Sui

Institutions: Chongqing Technology and Business University, Chongqing Normal University

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Chongqing Municipal Education Commission

Award: G776706447

OpenAlex ID: W7222699742

Cites: 2

Cited by:

Related to: 10