Norms of composition operators on weighted Hardy spaces

被引：6
|
作者：
Gallardo-Gutierrez, Eva A. [1 ]
Partington, Jonathan R. [2 ]
机构：
[1] Univ Complutense Madrid, Fac Ciencias Matemat, Dept Anal Matemat, E-28040 Madrid, Spain
[2] Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, England
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2013年 / 196卷 / 01期
关键词：
Unit Disc; Hardy Space; Composition Operator; Bergman Space; Numerical Range;
D O I：
10.1007/s11856-012-0148-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The norm of a bounded composition operator induced by a disc automorphism is estimated on weighted Hardy spaces H (2)(beta) in which the classical Hardy space is continuously embedded. The estimate obtained is accurate in the sense that it provides the exact norm for particular instances of the sequence beta. As a by-product of our results, an estimate for the norm of any bounded composition operator on H (2)(beta) is obtained.
引用
收藏
页码：273 / 283
页数：11
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