Fractional integration, differentiation, and weighted Bergman spaces

被引：47
作者：
Buckley, SM [1 ]
Koskela, P
Vukotic, D
机构：
[1] Natl Univ Ireland, Dept Math, Maynooth, Kildare, Ireland
[2] Univ Jyvaskyla, Dept Math, FIN-40351 Jyvaskyla, Finland
[3] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain
来源：
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 1999年 / 126卷
关键词：
D O I：
10.1017/S030500419800334X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the action of fractional differentiation and integration on weighted Bergman spaces and also the Taylor coefficients of functions in certain subclasses of these spaces. We then derive several criteria for the multipliers between such spaces, complementing and extending various recent results. Univalent Bergman functions are also considered.
引用
收藏
页码：369 / 385
页数：17
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