Norm Estimates for Weighted Composition Operators on Spaces of Holomorphic Functions

被引：17

作者：

Chalendar, Isabelle ^{[1
]}

Partington, Jonathan R. ^{[2
]}

机构：

[1] Univ Lyon 1, CNRS, INSA Lyon, Ecole Cent Lyon,Inst Camille Jordan,UMR 5208, F-69622 Villeurbanne, France

[2] Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, England

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2014年 / 8卷 / 05期

关键词：

Weighted composition operator; Hardy space; Weighted Bergman space; Zen space; Lower-triangular operator; Causal operator; HARDY-SPACES; BERGMAN SPACES; BOUNDEDNESS;

D O I：

10.1007/s11785-013-0340-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper shows that the boundedness of a weighted composition operator on the Hardy-Hilbert space on the disc or half-plane implies its boundedness on a class of related spaces, including weighted Bergman spaces. The methods used involve the study of lower-triangular and causal operators.

引用

页码：1087 / 1095

页数：9

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