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Keywords = α-Bloch space

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14 pages, 306 KiB  
Article
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 and Yongmin Liu
Mathematics 2024, 12(19), 3108; https://doi.org/10.3390/math12193108 - 4 Oct 2024
Viewed by 720
Abstract
Let HEIV 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 Bα(HEIV) into the Bers-type [...] Read more.
Let HEIV 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 Bα(HEIV) into the Bers-type space Aβ(HEIV) and provide the necessary and sufficient conditions for their boundedness. Full article
24 pages, 362 KiB  
Article
Boundedness and Compactness of Weighted Composition Operators from (α, k)-Bloch Spaces to A(β,k) Spaces on Generalized Hua Domains of the Fourth Kind
by Jiaqi Wang and Jianbing Su
Axioms 2024, 13(8), 539; https://doi.org/10.3390/axioms13080539 - 8 Aug 2024
Cited by 1 | Viewed by 794
Abstract
This paper addresses the weighted composition operators Cϕψ from the (α,k)-Bloch spaces to the A(β,k) spaces of bounded holomorphic functions on W, where W is a generalized Hua domain of the [...] Read more.
This paper addresses the weighted composition operators Cϕψ from the (α,k)-Bloch spaces to the A(β,k) spaces of bounded holomorphic functions on W, where W is a generalized Hua domain of the fourth kind. Additionally, we obtain some necessary and sufficient conditions for the boundedness and compactness of these operators. Full article
(This article belongs to the Special Issue Recent Advances in Complex Analysis and Related Topics)
27 pages, 361 KiB  
Article
Boundedness and Compactness of Weighted Composition Operators from α-Bloch Spaces to Bers-Type Spaces on Generalized Hua Domains of the First Kind
by Jiaqi Wang and Jianbing Su
Mathematics 2023, 11(20), 4403; https://doi.org/10.3390/math11204403 - 23 Oct 2023
Cited by 4 | Viewed by 1176
Abstract
We address weighted composition operators ψCϕ from α-Bloch spaces to Bers-type spaces of bounded holomorphic functions on Y, where Y is a generalized Hua domain of the first kind, and obtain some necessary and sufficient conditions for the boundedness and [...] Read more.
We address weighted composition operators ψCϕ from α-Bloch spaces to Bers-type spaces of bounded holomorphic functions on Y, where Y is a generalized Hua domain of the first kind, and obtain some necessary and sufficient conditions for the boundedness and compactness of those operators. Full article
(This article belongs to the Special Issue Complex Analysis and Geometric Function Theory, 2nd Edition)
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