Composition operators on Hardy spaces of a half-plane

被引：36

作者：

Elliott, Sam ^{[1
]}

Jury, Michael T. ^{[2
]}

机构：

[1] Univ Leeds, Dept Pure Math, Leeds LS2 9JT, W Yorkshire, England

[2] Univ Florida, Dept Math, Gainesville, FL 32611 USA

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2012年 / 44卷

基金：

英国工程与自然科学研究理事会;

关键词：

WEIGHTED COMPOSITION OPERATORS; NORMS;

D O I：

10.1112/blms/bdr110

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a composition operator is bounded on the Hardy space H-2 of the right half-plane if and only if the inducing map fixes the point at infinity non-tangentially, and has a finite angular derivative lambda there. In this case the norm, essential norm and spectral radius of the operator are all equal to root lambda.

引用

页码：489 / 495

页数：7

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