BMO-Teichmuller spaces revisited

被引：1

作者：

Wei, Huaying ^{[1
]}

Zinsmeister, Michel ^{[2
]}

机构：

[1] Jiangsu Normal Univ, Dept Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China

[2] Univ Orleans, MAPMO, Orleans 2, France

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 466卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Strongly quasisymmetric homeornorphisms; Carleson measures; Douady-Earle extension; MOSTOW RIGIDITY; HOMEOMORPHISMS; MAPPINGS; EXTENSION;

D O I：

10.1016/j.jmaa.2018.06.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In [6] the equivalence among three definitions of BMO-Teichmiiller spaces associated with a Fuchsian group was proven using the Douady-Earle extension operator. In this paper, we show that these equivalences are actually biholomorphisms. In [6] it was further shown that the Douady-Earle extension operator is continuous at the origin. We improve this result by showing Gateaux-differentiability at this point. (C) 2018 Published by Elsevier Inc.

引用

页码：1082 / 1098

页数：17