Weighted composition operators on weighted Bergman and Dirichlet spaces

被引：1
|
作者：
Esmaeili, Kobra [1 ]
Kellay, Karim [2 ]
机构：
[1] Ardakan Univ, Fac Engn, Ardakan 8951895491, Iran
[2] Univ Bordeaux, IMB, Bordeaux INP, CNRS,UMR 5251, F-33405 Talence, France
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2023年 / 66卷 / 01期
关键词：
Weighted composition operators; boundedness; compactness; Carleson measures; Bergman spaces; Dirichlet spaces; weighted Hilbert spaces; TOEPLITZ-OPERATORS;
D O I：
10.4153/S0008439522000297
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the boundedness and compactness of weighted composition operators acting on weighted Bergman spaces and weighted Dirichlet spaces by using the corresponding Carleson measures. We give an estimate for the norm and the essential norm of weighted composition operators between weighted Bergman spaces as well as the composition operators between weighted Hilbert spaces.
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页码：286 / 302
页数：17
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