COMPOSITION OPERATORS ON HARDY-SOBOLEV SPACES

被引：1

作者：

He, Li ^{[1
]}

Cao, Guang Fu ^{[1
]}

He, Zhong Hua ^{[2
]}

机构：

[1] Guangzhou Univ, Dept Math, Guangzhou 510006, Guangdong, Peoples R China

[2] Guangdong Univ Finance, Dept Appl Math, Dept Math, Guangzhou 510521, Guangdong, Peoples R China

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2015年 / 46卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Hardy-Sobolev space; composition operator; spectrum; Fredholm operator;

D O I：

10.1007/s13226-015-0115-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain some growth estimates for Hardy-Sobolev functions of the unit ball. We also give the representation of the spectra of composition operators C phi on and describe the Fredholmness of C phi equivalently.

引用

页码：255 / 267

页数：13

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