Composition operators between weighted Banach spaces of analytic functions

被引：130

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.

引用

页码：101 / 118

页数：18

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