Work

Skew-Commuting Toeplitz Operators and Dual Toeplitz Operators on Bergman Spaces

Year: 2026

Type: article

Abstract: We study the skew-commutativity of Toeplitz operators and dual Toeplitz operators on the Bergman space of the unit disk. For bounded harmonic symbols, we characterize when two Toeplitz operators are skew-commuting. For general bounded measurable symbols, we give necessary and sufficient conditions for the skew-commutativity of dual Toeplitz operators. Our results characterize skew-commutativity in both settings and show that the conditions are more restrictive than in the commutative case.

Source: Mathematics

DOI: 10.3390/math14101727

Authors: Caochuan Ma, Tong Guan, Jianxiang Dong

Institution: Tianshui Normal University

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funders: National Natural Science Foundation of China, Tianshui Normal University