单位球上βP空间到Za型空间的加权Cesàro算子

摘要

Boundary and compact of extended Cesàro operators from βP spaces to Zygmund type space in the unit ball are studied.With 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 βP spaces to Zygmund type space in the unit ball.%利用泛函分析多复变的方法,研究了单位球上βP空间到Za空间的加权Cesàro算子的有界性和紧性问题.获得了单位球上βP空间到Za空间的加权Cesàro算子为有界算子和紧算子的充要条件.