摘要
本文研究了单位球B上Dirichlet空间Dq到βp空间的加权Cesàro算子的有界性和紧性问题.利用泛函分析多复变的方法,获得了单位球上Dirichlet型空间Dq到βp空间的加权Cesàro算子为有界算子和紧算子的充要条件.
Some problems of extended Cesàro operators from Dirichlet type spacse to βp spaces in the unit ball are studied in this paper.By the methods of functional analysis and several complex variables,the necessary and sufficient conditions are given for Extended Cesàro Operators to be bounded and compact from Dirichlet type spaces to βp spaces in the unit ball.
出处
《数学杂志》
CSCD
北大核心
2012年第1期157-162,共6页
Journal of Mathematics
