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两个解析函数空间之间的加权复合算子
引用本文:张学军,肖建斌.两个解析函数空间之间的加权复合算子[J].数学进展,2006,35(4):453-462.
作者姓名:张学军  肖建斌
作者单位:1. 湖南师范大学数学与计算机科学学院,长沙,湖南,410006
2. 杭州电子科技大学理学院,杭州,浙江,310037
基金项目:Research partially supported by the Education Department Foundation of Hunan Province(No.04C328)and the NSF of Zhejiang Province(No.M103104) Research partially supported by the NSF of Zhejiang Province(No.Y604569)and the STF of Education Department of China(No.204063).
摘    要:本文刻画了空间F(p,q,s)到空间β~α之间加权复合算子T_((?),ψ),的有界性和紧性条件并得到了一系列相关结果.

关 键 词:有界性  紧性  加权复合算子  乘子
文章编号:1000-0917(2006)04-0453-10
收稿时间:2004-03-29
修稿时间:2004年3月29日

Weighted Composition Operator Between Two Analytic Function Spaces
ZHANG Xue-jun,XIAO Jian-bin.Weighted Composition Operator Between Two Analytic Function Spaces[J].Advances in Mathematics,2006,35(4):453-462.
Authors:ZHANG Xue-jun  XIAO Jian-bin
Institution:1. College of Mathematics and Computer Science, Hunan Normal University, Changsha, Hunan, 410006, P. R. China; 2. The School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang, 310037, P. R. China
Abstract:In this paper, the bounded and compact weighted composition operator T(ψ),(ψ) from space F(p, q, s) to space βα is characterized. And a series of corresponding results are given.
Keywords:boundedness  compactness  weighted composition operator  multiplier
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