Weighted composition operators between weighted Bergman spaces and Hardy spaces on the unit ball of Cn

被引：32
|
作者：
Luo, Luo [1 ]
Ueki, Sei-ichiro
机构：
[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China
[2] Nippon Inst Technol, Dept Math, Miyashiro, Saitama 3458501, Japan
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 326卷 / 01期
基金：
中国国家自然科学基金;
关键词：
weighted composition operator; weighted Bergman space; Hardy space;
D O I：
10.1016/j.jmaa.2006.02.038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the weighted composition operators W-rho,W-psi: f -> psi (f circle rho) between weighted Bergman spaces and Hardy spaces on the unit ball of C-n. We characterize the boundedness and the compactness of the weighted composition operators W-rho,W-psi: A(p)(nu(alpha)) -> A(q)(nu(beta)) (0 < q < p < infinity, -1 < alpha, beta < infinity) and W-rho,W-psi: H-p(B) -> H-q(B) (0 < q < p < infinity). (c) 2006 Elsevier Inc. All rights reserved.
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页码：88 / 100
页数：13
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