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.
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页码：1082 / 1098
页数：17
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