COMPOSITION OPERATOR ON BERS-TYPE SPACES

作     者：何维湘 姜立建 

作者机构：Department Of Mathemattics Helsinki University Of Technology Finland Institute of Mathematics Academia Sinica Beijing 100080 China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2002年第22卷第3期

页      面：404-412页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：the National Natural Science Foundation of China(19971091) 

主　　题：composition operator Bers-type space boundedness compactness 

摘      要：Necessary and sufficient conditions are established for a composition operator C(phi)f = f o phi to be bounded or compact on the Bers-type space H-alpha(infinity) and the little Bers-type space H-alpha(infinity). The boundedness and compactness of the composition operator C-phi on A(infinity)(phi) are characterized, which generalize the case of C-phi on H-alpha(infinity).