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Research Article | Open Access

Contractivity and expansivity of H-Toeplitz operators on the Bergman spaces

Sumin Kim1, Jongrak Lee2( )
Department of Mathematics and Research Institute of Natural Sciences, Hanyang University, Seoul 04763, Korea
Department of Mathematics, Sungkyunkwan University, Suwon 16419, Korea
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Abstract

In this paper we consider the properties of H-Toeplitz operators B φ on the Bergman space L a 2 ( D ). We present some necessary and sufficient conditions for the contractive and expansive H-Toeplitz operators B φ with various symbols φ.

Keywords

H-Toeplitz operatorscontractive operatorsexpansive operatorsBergman space
CLC number: 47B35, 46E20

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AIMS Mathematics
Volume 7 Issue 8,
August 2022
Pages 13927-13944
DOI: 10.3934/math.2022769

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Cite this article:
Kim S, Lee J. Contractivity and expansivity of H-Toeplitz operators on the Bergman spaces. AIMS Mathematics, 2022, 7(8): 13927-13944. https://doi.org/10.3934/math.2022769

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Received: 24 March 2022
Revised: 10 May 2022
Accepted: 16 May 2022
Published: 15 August 2022
©2022 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)