数学杂志2007，Vol.27Issue(4)：381-384,4.
H∞和Bergman空间之间的加权复合算子
WEIGHTED COMPOSITION OPERATORS BETWEEN H∞ AND BERGMAN SPACES
摘要
Abstract
In this paper,we study the boundedness and compactness of the weighted composition operator uCΦbetween H∞and Bergman spaces.By using the method of functional analysis and complex analysis,we obtain the sufficient and necessary conditions that uC,is a bounded or compact operator,and some estimates for the norm of uCΦbetween H∞and Bergman spaces.It generalizes the corresponding theory of the weighted composition operator on some kirids of analytic function spaces.关键词
加权复合算子/Bergman空间/H∞Key words
weighted composition operator/Bergman space/H∞分类
数理科学引用本文复制引用
唐笑敏..H∞和Bergman空间之间的加权复合算子[J].数学杂志,2007,27(4):381-384,4.基金项目
Supported by the NNSF of China (10471039) （10471039）
Supported by the Natural Science Foundation of Zhejiang Province (M103104) （M103104）
Supported by the Natural Science Foundation of Huzhou City (2005YZ02). （2005YZ02）
