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Research Article | Open Access

Product of H-Toeplitz operator and Toeplitz operator on the Bergman space

Qian Ding1, Yong Chen2( )
School of Data Science and Artificial Intelligence, Dongbei University of Finance and Economics, Dalian, Liaoning, 116025, China
Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang, 311121, China
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Abstract

In this paper, we characterize when the product of two H-Toeplitz operators to be another H-Toeplitz with one general and another quasihomogeneous symbols. Also, we describe the product of H-Toeplitz operator and Toeplitz operator to be another H-Toeplitz with certain harmonic symbols.

Keywords

H-Toeplitz operatorsToeplitz operatorsBergman spacequasihomogeneous functionproduct problem
CLC number: 47B35, 31A05

References

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AIMS Mathematics
Volume 8 Issue 9,
September 2023
Pages 20790-20801
DOI: 10.3934/math.20231059

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Cite this article:
Ding Q, Chen Y. Product of H-Toeplitz operator and Toeplitz operator on the Bergman space. AIMS Mathematics, 2023, 8(9): 20790-20801. https://doi.org/10.3934/math.20231059

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Received: 08 May 2023
Revised: 12 June 2023
Accepted: 13 June 2023
Published: 15 September 2023
©2023 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)