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Research Article | Open Access

Generalized weighted composition operators mapping into analytic tent spaces and its closure in the Korenblum space

Xiangling Zhu1, Rong Yang2, Songxiao Li3( )
University of Electronic Science and Technology of China, Zhongshan Institute, 528402, Zhongshan, Guangdong, China
Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, 610054, Chengdu, Sichuan, China
Department of Mathematics, Shantou University, Shantou 515063, Guangdong, China
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Abstract

This paper investigates the boundedness and compactness of generalized weighted composition operators on the closure of analytic tent spaces within the Korenblum space. It further analyzes the boundedness, compactness, and essential norm of these operators when acting from the Korenblum space to analytic tent spaces.

Keywords

Korenblum spacetent spaceweighted composition operatorclosure
CLC number: 30H99, 47B38

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AIMS Mathematics
Volume 10 Issue 9,
September 2025
Pages 21452-21467
DOI: 10.3934/math.2025953

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Cite this article:
Zhu X, Yang R, Li S. Generalized weighted composition operators mapping into analytic tent spaces and its closure in the Korenblum space. AIMS Mathematics, 2025, 10(9): 21452-21467. https://doi.org/10.3934/math.2025953

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Received: 26 June 2025
Revised: 23 August 2025
Accepted: 09 September 2025
Published: 17 September 2025
©2025 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)