摘要
本文研究复平面中单位圆盘的加权Ｄｉｒｉｃｈｌｅｔ空间上的复合算子。利用Ｃａｒ－ｌｅｓｏｎ测度的概念，给出了为有界算子，紧算子的充要条件。同时，对复合算子为Ｓｃｈａｔ－ｔｅｎＰ－类算子时，函数应满足的条件作了讨论，给出了积分形式的刻划。
In this Paper,we study the composite operator C on the weighted Dirichlet spaces of the unit disc D in the complex plane,and give the sufficient and necessary conditions,in term of the concept of Carlesson measure,for to be bounded and compact respectively. Meanwhile,the integral character-istic of such that is a Schatten p-class operator is obtained.
出处
《数学杂志》
CSCD
北大核心
1994年第2期165-175,共11页
Journal of Mathematics
关键词
复合算子
紧性
狄利克雷空间
Weighted Dirichlet space,Composite operator,Boundedness,Compactness,Schat-ten p-class operator.
