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Research Article | Open Access

Commuting Toeplitz operators on weighted harmonic Bergman spaces and hyponormality on the Bergman space of the punctured unit disk

Houcine Sadraoui, Borhen Halouani( )
Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia
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Abstract

We first describe commuting Toeplitz operators with harmonic symbols on weighted harmonic Bergman spaces. Then, a sufficient condition for hyponormality on weighted Bergman spaces of the punctured unit disk, when the analytic part of the symbol is a monomial, is shown.

Keywords

Bergman spaceToeplitz operatorhyponormality
CLC number: 15B05, 15B48, 47B20, 47B35, 47B47

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AIMS Mathematics
Volume 9 Issue 8,
August 2024
Pages 20043-20057
DOI: 10.3934/math.2024977

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Sadraoui H, Halouani B. Commuting Toeplitz operators on weighted harmonic Bergman spaces and hyponormality on the Bergman space of the punctured unit disk. AIMS Mathematics, 2024, 9(8): 20043-20057. https://doi.org/10.3934/math.2024977

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Received: 16 April 2024
Revised: 08 June 2024
Accepted: 14 June 2024
Published: 15 August 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)