Boundedness and Compactness of Weighted Composition Operators from <i>α</i>-Bloch Spaces to Bers-Type Spaces on Generalized Hua Domains of the First Kind

We address weighted composition operators <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ψ</mi><msub><mi>C</mi><mi>ϕ</mi></msub></mrow></semant...

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Bibliographic Details
Main Authors: Jiaqi Wang, Jianbing Su
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/20/4403
Description
Summary:We address weighted composition operators <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ψ</mi><msub><mi>C</mi><mi>ϕ</mi></msub></mrow></semantics></math></inline-formula> from <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>-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.
ISSN:2227-7390