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

Qian Ding; Yong Chen; Qian Ding; Yong Chen

doi:10.3934/math.20231059

AIMS Mathematics

2023, Volume 8, Issue 9: 20790-20801. doi: 10.3934/math.20231059

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Research article

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

Qian Ding ¹,
Yong Chen ^{2
,
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1.
School of Data Science and Artificial Intelligence, Dongbei University of Finance and Economics, Dalian, Liaoning, 116025, China
2.
Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang, 311121, China

Received: 08 May 2023 Revised: 12 June 2023 Accepted: 13 June 2023 Published: 29 June 2023
MSC : 47B35, 31A05

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.
- H-Toeplitz operators,
- Toeplitz operators,
- Bergman space,
- quasihomogeneous function,
- product problem
Citation: Qian Ding, Yong Chen. Product of H-Toeplitz operator and Toeplitz operator on the Bergman space[J]. AIMS Mathematics, 2023, 8(9): 20790-20801. doi: 10.3934/math.20231059

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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.

References

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