Commuting H-Toeplitz operators with quasihomogeneous symbols

Jinjin Liang; Liling Lai; Yile Zhao; Yong Chen; Jinjin Liang; Liling Lai; Yile Zhao; Yong Chen

doi:10.3934/math.2022442

AIMS Mathematics

2022, Volume 7, Issue 5: 7898-7908. doi: 10.3934/math.2022442

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Research article

Commuting H-Toeplitz operators with quasihomogeneous symbols

1.
Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
2.
Department of Mathematics, Hangzhou Normal University, Hangzhou 311121, China

Received: 23 December 2021 Revised: 06 February 2022 Accepted: 11 February 2022 Published: 17 February 2022
MSC : 47B35, 46E22

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.
- H-Toeplitz operator,
- Bergman space,
- commutativity,
- quasihomogeneous function
Citation: Jinjin Liang, Liling Lai, Yile Zhao, Yong Chen. Commuting H-Toeplitz operators with quasihomogeneous symbols[J]. AIMS Mathematics, 2022, 7(5): 7898-7908. doi: 10.3934/math.2022442

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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.

References

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