COMPACT COMPOSITION OPERATORS ON GENERALIZED HARDY SPACES

被引：0

作者：

Sharma, Ajay K. ^{[1
]}

机构：

[1] Shri Mata Vaishno Devi Univ, Sch Appl Phys & Math, Kakryal 182301, Katra, India

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2008年 / 15卷 / 04期

关键词：

Generalized Hardy space; composition operator; Nevanlinna counting function; vanishing Carleson measure;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate compact composition operators acting on generalized Hardy spaces H-omega. In fact, we prove that if omega is a differentiable, subharmonic and strictly increasing function defined on (0, infinity), then C-phi is compact on the generalized Hardy spaces if and only if it is compact on the Hardy space H-2.

引用

页码：775 / 783

页数：9

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