Asymptotics and Isometries of Weighted Composition Operators on Banach Spaces of Holomorphic Functions

被引：0
|
作者：
Kumar, Mahesh [1 ]
机构：
[1] Univ Delhi, Lady Shri Ram Coll Women, Dept Math, Delhi, India
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2021年 / 15卷 / 03期
关键词：
Weighted composition operators; Hardy spaces; Disc algebra; Weighted Hardy spaces; Asymptotic behaviour;
D O I：
10.1007/s11785-021-01099-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We have developed some convergence criteria for the weighted composition operators on various Banach spaces of holomorphic functions, which also extends some of the results of Chalendar and Partington (Weighted Composition Operators: Isometries and Asymptotic Behaviour, 2019). We have also characterized the isometries of the weighted composition operators on the Hardy spaces H-p (D), which extends the characterization of the isometric weighted composition operators on the Hardy-Hilbert space H-2 (D) done in Kumar and Partington (Oper Theory Adv Appl 153:157-167).
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页数：22
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