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

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 compactness of those operators.

Keywords

• generalized Hua domain of the first type
• <i>α</i>-Bloch space
• Bers-type space
• weighted composition operators
• boundedness and compactness