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

Author:

Wang Jiaqi1,Su Jianbing1

Affiliation:

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

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.

Funder

National Natural Science Foundation of China

Postgraduate Research & Practice Innovation Program of Jiangsu Province

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference24 articles.

1. Cowen, C., and MacCluer, B. (1995). Composition Operators on Spaces of Analytic Functions, CRC Press.

2. Sur les domaines bornés homogènes de l’espace de n variables complexes;Cartan;Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg,1935

3. Yin, W. (2003). From Cartan Domains to Hua Domains, Capital Normal University Press. (In Chinese).

4. Extremal problem on super-Cartan domain of the first type;Yin;Compiez Var.,2003

5. Weighted composition operators between Bers-type spaces;Wang;Acta Math. Sci. Ser. A,2007

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