Fredholm Composition Operators on Riemann Surfaces

被引：0

作者：

Guang Fu CAO Department of Mathematics

机构：

来源：

Acta Mathematica Sinica(English Series) | 2005年 / 21卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Riemann surface; Composition operator; Fredholm operator;

D O I：

暂无

中图分类号：

O174.51 [单复变数函数几何理论];

学科分类号：

070104 ;

摘要：

It is proved that the invertibility of a composition operator on the differential form spacefor a Riemann surface is equivalent to it.s Fredholmness.In addition,the Fredhohnness of weightedcomposition operators is discussed.

引用

页码：869 / 872

页数：4

共 4 条

[1] On composition operators onHp-spaces in several variables
Cao Guangfu
Sun Shunhua
[J]. Acta Mathematica Sinica, 1997, 13 (2) : 281 - 288
[2] FREDHOLM COMPOSITION OPERATORS ON SPACES OF HOLOMORPHIC-FUNCTIONS
HATORI, O
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 1994, 18 (02) : 202 - 210
[3] FREDHOLM WEIGHTED COMPOSITION OPERATORS
TAKAGI, H
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 1993, 16 (02) : 267 - 276
[4] FREDHOLM MULTIPLICATION AND COMPOSITION OPERATORS ON THE HARDY SPACE
BOURDON, PS
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 1990, 13 (04) : 607 - 610

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