Discretizations of integral operators and atomic decompositions in vector-valued weighted Bergman spaces

被引:16
作者
Constantin, Olivia [1 ]
机构
[1] Lund Univ, Dept Math, SE-22100 Lund, Sweden
关键词
atomic decomposition; vector-valued weighted Bergman spaces; Toeplitz operators;
D O I
10.1007/s00020-007-1536-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove a general atomic decomposition theorem for weighted vector-valued Bergman spaces, which applies to duality problems and to the study of compact Toeplitz type operators.
引用
收藏
页码:523 / 554
页数:32
相关论文
共 18 条
[1]   Hankel operators on Bergman spaces and similarity to contractions [J].
Aleman, A ;
Constantin, O .
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2004, 2004 (35) :1785-1801
[2]   Bergman and Bloch spaces of vector-valued functions [J].
Arregui, JL ;
Blasco, O .
MATHEMATISCHE NACHRICHTEN, 2003, 261 :3-22
[3]  
Axler S, 1998, INDIANA U MATH J, V47, P387
[4]   WEIGHTED INEQUALITIES FOR THE BERGMAN PROJECTION IN THE UNIT-SPHERE CN [J].
BEKOLLE, D .
STUDIA MATHEMATICA, 1982, 71 (03) :305-323
[5]  
CHAN KC, 1992, MICH MATH J, V39, P289
[6]  
Coifman RR., 1980, Asterisque, V77, P11
[7]  
Constantin O, 2008, J OPERAT THEOR, V59, P157
[8]  
Conway J.B., 1981, RES NOTES MATH, V51
[9]  
DUREN PL, 1969, J REINE ANGEW MATH, V238, P32
[10]  
Hedenmalm H., 2000, GRAD TEXT M, V199