The n-th derivative characterisation of mobius invariant Dirichlet space

被引：21
|
作者：
Aulaskari, R
Nowak, M
Zhao, R
机构：
[1] Univ Joensuu, FIN-8010 Joensuu, Finland
[2] Marie Curie Sklodowska Univ, Inst Math, PL-20031 Lublin, Poland
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1998年 / 58卷 / 01期
关键词：
D O I：
10.1017/S0004972700031993
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we give the n-th derivative criterion for functions belonging to recently defined function spaces Q(p) and Q(p,0) For a special parameter value p = 1 this criterion is applied to BMOA and VMOA, and for p > 1 it is applied to the Bloch space beta and the little Bloch space beta(0). Further, a Carleson measure characterisation is given to Q(p), and in the last section the multiplier space from H-q into Q(p) is considered.
引用
收藏
页码：43 / 56
页数：14
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