Weighted Composition Operators between Bers-Type Spaces on Generalized Hua-Cartan-Hartogs Domains

被引：2
|
作者：
Wang, Ziyan [1 ]
Su, Jianbing [1 ]
机构：
[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China
来源：
AXIOMS | 2024年 / 13卷 / 08期
基金：
中国国家自然科学基金;
关键词：
the generalized Hua-Cartan-Hartogs domains; Bers-type space; weighted composition operators; boundedness and compactness; BERGMAN-KERNEL FUNCTION; H-INFINITY; VANISHING THEOREM; BLOCH SPACE;
D O I：
10.3390/axioms13080513
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：26
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