The space of bounded analytic functions and weighted Bergman spaces

被引：1
作者：
Ye, Fangqin [1 ]
机构：
[1] Shantou Univ, Sch Business, Shantou 515063, Guangdong, Peoples R China
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2019年 / 30卷 / 04期
关键词：
H-infinity; Weighted Bergman spaces; High order derivatives;
D O I：
10.1016/j.indag.2019.03.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we construct a class of weighted Bergman spaces such that they can generate H-infinity in the sense of Mobius invariance. H-infinity is also equal to the intersection of these spaces. Applying the relation between H-infinity and these spaces, we show that the characterization via higher order derivatives does not hold for some of these weighted Bergman spaces. (C) 2019 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：706 / 716
页数：11
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