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Research Article | Open Access

A result about the atomic decomposition of Bloch-type space in the polydisk

School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, China
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Abstract

The aim of the paper is to obtain a interesting result about the atomic decomposition of Bloch-type space in the polydisk. The existing similar results have been applied many times to the atomic decompositions of Bloch-type and weighted Bergman spaces in the unit ball.

Keywords

normal functionBloch-type spaceweighted-type spaceatomic decompositionunit polydisk
CLC number: 47B38, 47B33, 47B37, 30H05

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AIMS Mathematics
Volume 8 Issue 5,
May 2023
Pages 10822-10834
DOI: 10.3934/math.2023549

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Cite this article:
Jiang Z-j. A result about the atomic decomposition of Bloch-type space in the polydisk. AIMS Mathematics, 2023, 8(5): 10822-10834. https://doi.org/10.3934/math.2023549

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Received: 17 October 2022
Revised: 23 February 2023
Accepted: 23 February 2023
Published: 15 May 2023
©2023 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)