Weighted composition operators on some weighted spaces in the unit ball

被引：54
|
作者：
Fu, Xiaohong [1 ]
Zhu, Xiangling [1 ]
机构：
[1] Jiaying Univ Guangdong, Dept Math, Meizhou 514015, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2008年
关键词：
D O I：
10.1155/2008/605807
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let B-n be the unit ball of C-n, H(B-n) the space of all holomorphic functions in B-n. Let u epsilon H(B-n) and alpha be a holomorphic self-map of B-n. For f epsilon H (B-n), the weigthed composition operator uC alpha is defined by (uC(alpha)f)(z) = u(z) f (alpha(z)), z epsilon B-n. The boundedness and compactness of the weighted composition operator on some weighted spaces on the unit ball are studied in this paper. Copyright (C) 2008 X. Fu and X. Zhu.
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