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.

引用

页数：8

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