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Research Article | Open Access

Logarithmic Bergman-type space and a sum of product-type operators

Yan-fu Xue1, Zhi-jie jiang1,2( ), Hui-ling Jin1, Xiao-feng Peng1
School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, China
South Sichuan Center for Applied Mathematics, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, China
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Abstract

One of the aims of the present paper is to obtain some properties about logarithmic Bergman-type space on the unit ball. As some applications, the bounded and compact operators S u → , φ m = ∑ i = 0 m M u i C φ ℜ i from logarithmic Bergman-type space to weighted-type space on the unit ball are completely characterized.

Keywords

product-type operatorboundednesscompactnesslogarithmic Bergman-type spaceweighted-type space
CLC number: 47B38, 47B33, 47B37, 30H05

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 26682-26702
DOI: 10.3934/math.20231365

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Cite this article:
Xue Y-f, jiang Z-j, Jin H-l, et al. Logarithmic Bergman-type space and a sum of product-type operators. AIMS Mathematics, 2023, 8(11): 26682-26702. https://doi.org/10.3934/math.20231365

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Received: 09 July 2023
Revised: 30 August 2023
Accepted: 03 September 2023
Published: 15 November 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)