Dual H-Toeplitz operators on the harmonic Bergman space

Authors

  • Ran Li School of Mathematics, Liaoning Normal University, Hongqi, Dalian, Liaoning, China
  • Minghao Sun School of Mathematics, Liaoning Normal University, Hongqi, Dalian, Liaoning, China
  • Di Bing School of Mathematics, Liaoning Normal University, Hongqi, Dalian, Liaoning, China

DOI:

https://doi.org/10.3842/umzh.v77i11.9237

Keywords:

harmonic Bergman space; dual H-Toeplitz operators; compactness

Abstract

UDC 517.9

We mainly generalize the operators $K$ and $K^{*}$ on the Bergman space to the orthogonal complement of the harmonic Bergman space, in order to define dual H-Toeplitz operators on the harmonic Bergman space and discuss the commutativity and compactness of the dual H-Toeplitz operators.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 11, 2025.

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Published

24.10.2025

Issue

Vol. 77 No. 11 (2025)

Section

Research articles

License

Copyright (c) 2025 Ran Li, Minghao Sun, Di Bing

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Li, Ran, et al. “Dual H-Toeplitz Operators on the Harmonic Bergman Space”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 11, Oct. 2025, p. 698, https://doi.org/10.3842/umzh.v77i11.9237.