Affiliation:
1. School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, China
Abstract
We address weighted composition operators between Bers-type spaces on generalized Hua–Cartan–Hartogs domains and provide the necessary and sufficient conditions for their boundedness and compactness. We then apply our results to study the boundedness and the compactness of weighted composition operators between Bers-type spaces on four different domains: generalized Hua domains, generalized Cartan–Hartogs domains, generalized Cartan–Hartogs domains over different Cartan domains and generalized ellipsoidal-type domains, by proving that the above four different domains are special cases of the generalized Hua–Cartan–Hartogs domains.
Funder
National Natural Science Foundation of China
Postgraduate Research & Practice Innovation Program of Jiangsu Province
Reference47 articles.
1. Weighted composition operators from H∞ to the Bloch space of a bounded homogeneous domain;Allen;Integr. Equ. Oper. Theory,2010
2. Weighted composition operators from the Bloch space to weighted Banach spaces on bounded homogeneous domains;Allen;Anal. Theory Appl.,2014
3. Composition operators from Bloch-type spaces into Bers-type spaces;Pu;J. Shenyang Norm. Univ.,2012
4. Weighted composition operators between different Bers-type spaces;Zhong;J. Guangzhou Univ. Nat. Sci.,2006
5. Weighted composition operators between Bers-type spaces;Wang;Acta Math. Sci. Ser. A,2007