从Bloch-type空间到Bers-type空间的复合算子  

Composition operators from Bloch-type space to Bers-type space

作　　者：普昭年[1] 

机构地区：[1]河西学院数学与统计学院,甘肃张掖734000

出　　处：《沈阳师范大学学报（自然科学版）》2012年第2期145-148,共4页Journal of Shenyang Normal University:Natural Science Edition

基　　金：甘肃省教育厅科研基金资助项目(0709-03)

摘　　要：一个线性算子把有界集映为有界集,则称它为有界的;若一个线性算子把有界集映为有紧闭包的集合,则称它是紧的。在解析函数空间中,感兴趣的是找出解析映射所诱导的有界算子或紧算子的函数理论特征。主要给出了从Bloch-type空间到Bers-type空间及小Bers-type空间的复合算子有界和紧的充要条件。If a linear operator maps a bounded set to bounded set,then we call it bounded operator.If a linear operator maps a bounded set to set with compact closure,then we call it compact operator.In the analysis functions space,it is interesting to find out its function theoretical characteristics of the analytic mapping induced by a bounded operator or a compact operator.In this paper,we mainly give the necessary and sufficient conditions of boundedness and compactness of weighted composition operators from Bloch-type space to Bers-type space.

关 键 词：Bloch-type空间 Bers-type空间 复合算子 有界性 紧性 

分 类 号：O174.5[理学—数学]