COLLECTIVELY COMPACT COMPOSITION OPERATOR SEQUENCES BETWEEN BERGMAN AND HARDY SPACES

被引：0

作者：

王茂发

刘培德

机构：

来源：

ActaMathematicaScientia | 2004年 / 02期

基金：

中国国家自然科学基金;

关键词：

Bergman space; Hardy space; composition operator; collectively compact operator sequence;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

This paper studies the collective compactness of composition operator sequences between the Bergman and Hardy spaces. Some sufficient and necessary conditions involving the generalized Nevanlinna counting functions for composition operator sequences to be collectively compact between weighted Bergman spaces are given

引用

页码：206 / 212

页数：7

共 50 条

[1] Collectively compact composition operator sequences between Bergman and Hardy spaces
Wang, MF
Liu, PD
ACTA MATHEMATICA SCIENTIA, 2004, 24 (02) : 206 - 212
[2] Collectively compact Hankel operator sequences on Hardy spaces
Cao, GF
Zhong, CY
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 216 (02) : 491 - 498
[3] Composition operators between Bergman and Hardy spaces
Smith, W
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 348 (06) : 2331 - 2348
[4] Bounded and compact multipliers between Bergman and Hardy spaces
Stephen M. Buckley
M. S. Ramanujan
Dragan Vukotić
Integral Equations and Operator Theory, 1999, 35 : 1 - 19
[5] Bounded and compact multipliers between Bergman and Hardy spaces
Buckley, SM
Ramanujan, MS
Vukotic, D
INTEGRAL EQUATIONS AND OPERATOR THEORY, 1999, 35 (01) : 1 - 19
[6] ANGULAR DERIVATIVES AND COMPACT COMPOSITION OPERATORS ON THE HARDY AND BERGMAN SPACES
MACCLUER, BD
SHAPIRO, JH
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1986, 38 (04): : 878 - 906
[7] Composition followed by differentiation between Bergman and Hardy spaces
Hibschweiler, RA
Portnoy, N
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2005, 35 (03) : 843 - 855
[8] Generalized composition operators between Hardy and weighted Bergman spaces
Ajay K. Sharma
Acta Scientiarum Mathematicarum, 2012, 78 (1-2): : 187 - 211
[9] Geometric models for composition operators between Bergman and Hardy spaces
Smith, W
XVITH ROLF NEVANLINNA COLLOQUIUM, 1996, : 223 - 229
[10] Generalized composition operators between Hardy and weighted Bergman spaces
Sharma, Ajay K.
ACTA SCIENTIARUM MATHEMATICARUM, 2012, 78 (1-2): : 187 - 211

← 1 2 3 4 5 →