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
收藏
页码：255 / 267
页数：13
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