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Research Article | Open Access

Boundedness of the product of some operators from the natural Bloch space into weighted-type space

Xiaoman Liu1( ), Yongmin Liu2
College of Sciences, Nanjing Agricultural University, Nanjing 210095, China
School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, China
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Abstract

Let B X be the unit ball of a complex Banach space X, which may be infinite dimensional. The authors characterize the boundedness of the product of the radial derivative operator and the weighted composition operator from the natural Bloch space (or the little Bloch-type space) into the weighted-type space (or the little weighted-type space) on B X .

Keywords

weighted composition operatorradial derivative operatornatural Bloch spaceweighted-type spaceboundedness
CLC number: 47B38, 47B33, 47B01, 46E15

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AIMS Mathematics
Volume 9 Issue 7,
July 2024
Pages 19626-19644
DOI: 10.3934/math.2024957

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Cite this article:
Liu X, Liu Y. Boundedness of the product of some operators from the natural Bloch space into weighted-type space. AIMS Mathematics, 2024, 9(7): 19626-19644. https://doi.org/10.3934/math.2024957

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Received: 12 April 2024
Revised: 03 June 2024
Accepted: 03 June 2024
Published: 15 July 2024
©2024 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)