On the Product of Weighted Composition Operators and Radial Derivative Operators from the Bloch-Type Space into the Bers-Type Space on the Fourth Loo-Keng Hua Domain

Liu, Xiaoman; Liu, Yongmin

doi:10.3390/math12193108

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On the Product of Weighted Composition Operators and Radial Derivative Operators from the Bloch-Type Space into the Bers-Type Space on the Fourth Loo-Keng Hua Domain

by

Xiaoman Liu

^1,*

and

Yongmin Liu

²

¹

College of Sciences, Nanjing Agricultural University, Nanjing 210095, China

²

School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, China

^*

Author to whom correspondence should be addressed.

Mathematics 2024, 12(19), 3108; https://doi.org/10.3390/math12193108

Submission received: 17 September 2024 / Revised: 2 October 2024 / Accepted: 2 October 2024 / Published: 4 October 2024

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Abstract

Let

H E_{I V}

be the fourth Loo-Keng Hua domain. We study the boundedness of the product of the weighted composition operator and the radial derivative operator from the Bloch-type space

B^{α} (H E_{I V})

into the Bers-type space

A^{β} (H E_{I V})

and provide the necessary and sufficient conditions for their boundedness.

Keywords: fourth Loo-Keng Hua domain; weighted composition operator; radial derivative operator; Bloch-type space; Bers-type space; boundedness

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MDPI and ACS Style

Liu, X.; Liu, Y. On the Product of Weighted Composition Operators and Radial Derivative Operators from the Bloch-Type Space into the Bers-Type Space on the Fourth Loo-Keng Hua Domain. Mathematics 2024, 12, 3108. https://doi.org/10.3390/math12193108

AMA Style

Liu X, Liu Y. On the Product of Weighted Composition Operators and Radial Derivative Operators from the Bloch-Type Space into the Bers-Type Space on the Fourth Loo-Keng Hua Domain. Mathematics. 2024; 12(19):3108. https://doi.org/10.3390/math12193108

Chicago/Turabian Style

Liu, Xiaoman, and Yongmin Liu. 2024. "On the Product of Weighted Composition Operators and Radial Derivative Operators from the Bloch-Type Space into the Bers-Type Space on the Fourth Loo-Keng Hua Domain" Mathematics 12, no. 19: 3108. https://doi.org/10.3390/math12193108

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On the Product of Weighted Composition Operators and Radial Derivative Operators from the Bloch-Type Space into the Bers-Type Space on the Fourth Loo-Keng Hua Domain

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