摘要
本文研究了单位圆盘上Bergman空间上的加权复合算子和复平面的单连通域(不是全平面)上Bergman空间上的复合算子的有界性和紧性.利用复分析方法,获得了有界性与紧性的一些充分条件和必要条件,推广了Hardy空间上的若干相关结果.
In this article,we study the boundedness and compactness of weighted compositiono perators on Bergman space over the open unit disk and composition operators on Bergman spaceover 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.
出处
《数学杂志》
CSCD
北大核心
2012年第1期1-8,共8页
Journal of Mathematics
基金
Supported by the National Natural Science Foundation of China ( 10971195
10771064)
the Natural Science Foundation of Zhejiang Province (Y6090689)
