Work

The Berezin Transform and Commutativity of Toeplitz Operators on the Bergman Space of the Upper Half-plane

Year: 2025

Type: article

Abstract: The aim of this paper is twofold.First, we explore the role of the pioneering concept of the Berezin transform and its fixed points in the framework of the Bergman space on the complex upper half-plane.Second, in the setting of this Bergman space, we characterize commuting pairs of Toeplitz operators with bounded symbols that are either harmonic, of bi-harmonic type, or of bi-analytic type.In particular, this allows us to characterize normal Toeplitz operators.

Source: Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan

DOI: 10.30546/2409-4994.2025.51.1.1029

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4410849555

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