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Research Article | Open Access

Commuting H-Toeplitz operators with quasihomogeneous symbols

Jinjin Liang1, Liling Lai1, Yile Zhao2, Yong Chen2( )
Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
Department of Mathematics, Hangzhou Normal University, Hangzhou 311121, China
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Abstract

In this paper, we characterize the commutativity of H-Toeplitz operators with quasihomogeneous symbols on the Bergman space, which is different from the case of Toeplitz operators with same symbols on the Bergman space.

Keywords

H-Toeplitz operatorBergman spacecommutativityquasihomogeneous function
CLC number: 47B35, 46E22

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AIMS Mathematics
Volume 7 Issue 5,
May 2022
Pages 7898-7908
DOI: 10.3934/math.2022442

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Cite this article:
Liang J, Lai L, Zhao Y, et al. Commuting H-Toeplitz operators with quasihomogeneous symbols. AIMS Mathematics, 2022, 7(5): 7898-7908. https://doi.org/10.3934/math.2022442

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Received: 23 December 2021
Revised: 06 February 2022
Accepted: 11 February 2022
Published: 15 May 2022
©2022 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)