Dual H-Toeplitz operators on the harmonic Bergman space

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.

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Bibliographic Details
Date:2026
Main Authors: Li, Ran, Sun, Minghao, Bing, Di
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2026
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/9237
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary: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.
DOI:10.3842/umzh.v77i11.9237