Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

Version 1 : Received: 4 September 2023 / Approved: 5 September 2023 / Online: 5 September 2023 (09:36:03 CEST)

A peer-reviewed article of this Preprint also exists.

Wang, J.; Su, J. Boundedness and Compactness of Weighted Composition Operators from α-Bloch Spaces to Bers-Type Spaces on Generalized Hua Domains of the First Kind. Mathematics 2023, 11, 4403. Wang, J.; Su, J. Boundedness and Compactness of Weighted Composition Operators from α-Bloch Spaces to Bers-Type Spaces on Generalized Hua Domains of the First Kind. Mathematics 2023, 11, 4403.

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; α-Bloch space; Bers-type space; weighted composition operators; boundedness and compactness.

Subject

Computer Science and Mathematics, Analysis

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