The minimal Mobius invariant space

被引：4
|
作者：
Bao, Guanlong [1 ]
Wulan, Hasi [1 ]
机构：
[1] Shantou Univ, Dept Math, Shantou 515063, Peoples R China
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2014年 / 59卷 / 02期
关键词：
composition operator; minimal Mobius invariant space; Besov spaces; lacunary series; isometric isomorphisms; BESOV-SPACES; BLOCH SPACE; ISOMETRIES;
D O I：
10.1080/17476933.2012.727408
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article we study the minimal Mobius invariant space, denoted by B-1, which is compatible with the Besov spaces B-p, 1<p<. In the first part of this article, we prove that the lacunary characterization of functions in B-p(1<p<) is still true for the critical case p=1. Also, we show by counterexamples that some results for the Besov spaces B-p, 1<p<, do not remain for p=1. In the second part of this article, we give a characterization of isometric isomorphisms of B-1; that is, any isometric isomorphism of B-1 must be a composition operator.
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页码：190 / 203
页数：14
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