Universal Teichmuller space and BMO

被引：44
|
作者：
Shen Yuliang [1 ]
Wei Huaying [1 ]
机构：
[1] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China
来源：
ADVANCES IN MATHEMATICS | 2013年 / 234卷
基金：
中国国家自然科学基金;
关键词：
Universal Teichmuller space; BMOA; VMOA; Carleson measure; BOUNDARY CORRESPONDENCE; HOMEOMORPHISMS; MAPPINGS; NORM;
D O I：
10.1016/j.aim.2012.10.017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We first give some new characterizations on BMOA-Teichmuller space and various characterizations on VMOA-Teichmuller space as well. In particular, we prove that a quasisymmetric conformal welding h corresponds to an asymptotically smooth curve in the sense of Pommerenke (1978) [32] precisely when h is absolutely continuous with log h' is an element of VMO. We then show that these BMO-Teichmuller spaces have natural complex structures. (C) 2012 Elsevier Inc. All rights reserved.
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页码：129 / 148
页数：20
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