COMPACT COMPOSITION OPERATORS ON WEIGHTED BERGMAN SPACES ON BOUNDED SYMMETRIC DOMAINS

被引：0

作者：

Lv Xiaofen ^{[1
]}

Hu Zhangjian ^{[1
]}

机构：

[1] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2011年 / 31卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Composition operator; weighted Bergman space; bounded symmetric domains;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we borrow the idea of using Schur's test to characterize the compactness of composition operators on the weighted Bergman spaces in a bounded symmetric domain Omega, and verify that C(phi) is compact on L(a)(q)(Omega, dv(beta)) if and only if K(phi(z),phi(z))/K(z,z) -> as z -> partial derivative Omega under a mild condition, where K(z, w) is the Bergman kernel.

引用

页码：468 / 476

页数：9

共 50 条

[1] COMPACT COMPOSITION OPERATORS ON WEIGHTED BERGMAN SPACES ON BOUNDED SYMMETRIC DOMAINS
吕小芬
胡璋剑
Acta Mathematica Scientia, 2011, 31 (02) : 468 - 476
[2] Composition　Operators　on　Weighted　Bergman　Spaces　of　Bounded　Symmetric　Domains
XU XianminDept.of Mathematics
Journal of Systems Science and Systems Engineering, 1996, (01) : 90 - 102
[3] Weighted composition operators on weighted Bergman spaces of bounded symmetric domains
Kumar, Sanjay
Singh, Kanwar Jatinder
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2007, 117 (02): : 185 - 196
[4] Weighted composition operators on weighted Bergman spaces of bounded symmetric domains
Sanjay Kumar
Kanwar Jatinder Singh
Proceedings Mathematical Sciences, 2007, 117 : 185 - 196
[5] Compact Toeplitz Operators for Weighted Bergman Spaces on Bounded Symmetric Domains
Hassan Issa
Integral Equations and Operator Theory, 2011, 70 : 569 - 582
[6] Compact Toeplitz Operators for Weighted Bergman Spaces on Bounded Symmetric Domains
Issa, Hassan
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2011, 70 (04) : 569 - 582
[7] Schatten class weighted composition operators on weighted Bergman spaces of bounded symmetric domains
Kumar, Sanjay
Sharma, Som Datt
ACTA SCIENTIARUM MATHEMATICARUM, 2010, 76 (1-2): : 193 - 206
[8] Schatten class weighted composition operators on weighted Bergman spaces of bounded symmetric domains
Sanjay Kumar
Som Datt Sharma
Acta Scientiarum Mathematicarum, 2010, 76 (1-2): : 193 - 206
[9] Schatten Class Composition Operators on Weighted Bergman Spaces of Bounded Symmetric Domains
Li, Song-Ying
Russo, Bernard
ANNALI DI MATEMATICA PURA ED APPLICATA, 1997, 172 (01) : 379 - 394
[10] Weighted composition operators between different Bergman spaces of bounded symmetric domains
Lv, Xiaofen
Tang, Xiaomin
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2009, 119 (04): : 521 - 529

← 1 2 3 4 5 →