数学杂志2012，Vol.32Issue(1)：1-8,8.
Bergman空间上的加权复合算子及应用
WEIGHTED COMPOSITION OPERATORS ON BERGMAN SPACE AND APPLICATIONS
摘要
Abstract
In this article,we study the boundedness and compactness of weighted composition operators on Bergman space over the open unit disk and composition operators on Bergman space over a simply connected domain which is not the entire complex plane.By the method of complex analysis,we obtain some sufficient conditions and necessary conditions for boundedness as well as compactness,that generalize some relative results on Hardy space to Bergman space.关键词
Bergman空间/加权复合算子/角导数Key words
Bergman space/weighted composition operator/angular derivative分类
数理科学引用本文复制引用
胡小浇,章国凤,于涛..Bergman空间上的加权复合算子及应用[J].数学杂志,2012,32(1):1-8,8.基金项目
Supported by the National Natural Science Foundation of China (10971195 （）
10771064) （）
the Natural Science Foundation of Zheiiang Province (Y6090689). （Y6090689）
