COMPOSITION OPERATORS FROM WEAK TO STRONG SPACES OF VECTOR-VALUED ANALYTIC FUNCTIONS

被引：0

作者：

Laitila, Jussi ^{[1
]}

Tylli, Hans-Olav ^{[1
]}

Wang, Maofa ^{[2
]}

机构：

[1] Univ Helsinki, Dept Math & Stat, FIN-00014 Helsinki, Finland

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

来源：

JOURNAL OF OPERATOR THEORY | 2009年 / 62卷 / 02期

基金：

芬兰科学院;

关键词：

Composition operator; vector-valued Hardy space; vector-valued Bergman space; COMPACT COMPOSITION OPERATORS; COEFFICIENT MULTIPLIERS; HARMONIC-FUNCTIONS; BERGMAN SPACES; BMOA;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let phi be an analytic map from the unit disk into itself, X a complex infinite-dimensional Banach space and 2 <= p < infinity. It is shown that the composition operator C phi: f bar right arrow f o phi is bounded wH(p) (X) -> HP (X) if and only if C phi is a Hilbert-Schmidt operator H-2 -> H-2. Here H-p(X) is the X-valued Hardy space and wH(p)(X) is a related weak vector-valued Hardy space. A similar result is established for vector-valued Bergman spaces.

引用

页码：281 / 295

页数：15

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