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

共 32 条

[11] On QK-Teichmuller spaces
Jin, Jianjun
Tang, Shuan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 467 (01) : 622 - 637
[12] On locally quasiconformal Teichmuller spaces
Fletcher, Alastair
Zhou, Zemin
MANUSCRIPTA MATHEMATICA, 2021, 165 (1-2) : 105 - 119
[13] Teichmuller spaces for pointed Fuchsian groups
Sun MingFeng
Shen YuLiang
SCIENCE CHINA-MATHEMATICS, 2010, 53 (08) : 2031 - 2038
[14] UNIVERSAL TEICHMULLER SPACE AND QK SPACES
Wulan, Hasi
Ye, Fangqin
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2014, 39 (02) : 691 - 709
[15] Weighted Hardy spaces and BMO spaces associated with Schrodinger operators
Liu, Heping
Tang, Lin
Zhu, Hua
MATHEMATISCHE NACHRICHTEN, 2012, 285 (17-18) : 2173 - 2207
[16] Rigidity of Groups of Circle Diffeomorphisms and Teichmuller Spaces
Matsuzaki, Katsuhiko
JOURNAL D ANALYSE MATHEMATIQUE, 2020, 140 (02): : 511 - 548
[17] ON SMOOTHNESS OF THE ELEMENTS OF SOME INTEGRABLE TEICHMULLER SPACES
Alberge, Vincent
Brakalova, Melkana
MATHEMATICAL REPORTS, 2021, 23 (1-2): : 95 - 105
[18] An introduction to pressure metrics for higher Teichmuller spaces
Bridgeman, Martin
Canary, Richard
Sambarino, Andres
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2018, 38 : 2001 - 2035
[19] OPERATOR-VALUED DYADIC BMO SPACES
Blasco, Oscar
Pott, Sandra
JOURNAL OF OPERATOR THEORY, 2010, 63 (02) : 333 - 347
[20] TEICHMULLER SPACES OF PIECEWISE SYMMETRIC HOMEOMORPHISMS ON THE UNIT CIRCLE
Wei, Huaying
Matsuzaki, Katsuhiko
PACIFIC JOURNAL OF MATHEMATICS, 2021, 314 (02) : 495 - 514

← 1 2 3 4 →