Composition Operators fronm Weak to Strong Vector-Valued Hardy Spaces

被引：1
|
作者：
Blasco, Oscar [1 ]
机构：
[1] Univ Valencia, Dept Anal Matemat, Valencia 46100, Spain
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2020年 / 14卷 / 08期
关键词：
Composition operator; Vector-valued Hardy space; p-summing operator; Primary; 47B33; Secondary; 46E40; 47B10;
D O I：
10.1007/s11785-020-01037-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let phi be an analytic map from the unit disk into itself, 1<p<2 and 1 <= q <= p. It is shown that the composition operator C-phi(f)=f circle phi is bounded from H-weak(p)(D,L-q(mu)) into H-p(D,L-q(mu)) if and only if C-phi is a 2-summing operator from H-p(D) into H-p(D). Here H-weak(p)(D,X) and H-p(D,X) are the weak and strong formulation of X-valued Hardy spaces on the unit disc.
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页数：11
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