2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane

被引：3
|
作者：
Xue, Yan-Fu [1 ]
Jiang, Zhi-Jie [1 ,2 ]
Huang, Cheng-Shi [1 ]
机构：
[1] Sichuan Univ Sci & Engn, Sch Math & Stat, Zigong 643000, Sichuan, Peoples R China
[2] Sichuan Univ Sci & Engn, South Sichuan Ctr Appl Math, Zigong 643000, Sichuan, Peoples R China
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2023年 / 17卷 / 07期
关键词：
Weighted Bergman space on the right half-plane; Weighted composition operator; 2-Complex symmetric operator; Reproducing kernel;
D O I：
10.1007/s11785-023-01418-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper, 2-complex symmetric weighted composition operators induced by three type symbols on the weighted Bergman spaces of the right half-plane with three conjugations J f (z) = f (z), Js <(f (<(z)over bar>))over bar> = <(f (<(z)over bar> + is))over bar> and J(*) f (z) = 1/z(alpha+2) <(f (1/<(z)over bar>))over bar> are characterized by building the relations between some parameters. Some examples of such operators are also given.
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页数：17
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