A note on composition operators on certain weighted Hardy spaces

被引：0
|
作者：
Keshavarzi, H. [1 ]
Khani-Robati, B. [1 ]
机构：
[1] Shiraz Univ, Coll Sci, Dept Math, Shiraz, Iran
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 02期
关键词：
Composition operators; Weighted Hardy spaces; Vanishing omega-Carleson measure; Hilbert-Schmidt operators; COMPACT;
D O I：
10.1007/s12215-022-00732-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the composition operators on certain weighted Hilbert spaces H-omega, consisting of analytic functions defined on D, that can be described as a weighted Dirichlet space with weight omega having certain properties. We will use the notion of vanishing omega-Carleson measure to characterize the compact composition operators on H-omega. Also, we give some upper and lower estimates for the essential norm of these operators and investigate the Hilbert-Schmidt composition operators.
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页码：1483 / 1495
页数：13
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