Composition operators between weighted Banach spaces of analytic functions

被引：132
|
作者：
Bonet, J [1 ]
Domanski, P
Lindstrom, M
Taskinen, J
机构：
[1] Univ Politecn Valencia, Dept Matemat Aplicada, E-46071 Valencia, Spain
[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-60769 Poznan, Poland
[3] Abo Akad Univ, Dept Math, FIN-20500 Turku, Finland
[4] Univ Helsinki, Dept Math, FIN-00014 Helsinki, Finland
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1998年 / 64卷
关键词：
D O I：
10.1017/S1446788700001336
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize those analytic self-maps phi of the unit disc which generate bounded or compact composition operators C-phi between given weighted Banach spaces H-upsilon(infinity) or H-upsilon(0) of analytic functions with the weighted sup-norms. We characterize also those composition operators which are bounded or compact with respect to all reasonable weights upsilon.
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页码：101 / 118
页数：18
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