Decomposition theorems for Qp spaces

被引:36
作者
Wu, ZJ [1 ]
Xie, CP [1 ]
机构
[1] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USA
来源
ARKIV FOR MATEMATIK | 2002年 / 40卷 / 02期
关键词
D O I
10.1007/BF02384542
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the Mobius invariant spaces Q(p) and Q(p,0) of analytic functions. These scales of spaces include BMOA=Q(1), VMOA=Q(1,0) and the Dirichlet space=Q(0). Using the Bergman metric, we establish decomposition theorems for these spaces. We obtain also a fractional derivative characterization for both Q(p) and Q(p,0).
引用
收藏
页码:383 / 401
页数:19
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