Norms of composition operators between Fock spaces

被引：2
|
作者：
Dai, Jineng [1 ]
机构：
[1] Wuhan Univ Technol, Dept Math, Sch Sci, Wuhan 430070, Peoples R China
来源：
ANNALS OF FUNCTIONAL ANALYSIS | 2020年 / 11卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Composition operator; Fock space; Subharmonic function; Holder inequality;
D O I：
10.1007/s43034-019-00028-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we give some estimates on norms of bounded composition operators between Fock spaces. In particular, when q < p and phi(z) = Az + B with parallel to A parallel to <= 1, we determine exactly the norm of the bounded composition operator C-phi : F-P -> F-q.
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页码：171 / 184
页数：14
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