Douady-earle extension of the strongly symmetric homeomorphism

Yan Wu; Yi Qi

doi:10.2996/kmj/1467830147

Douady-earle extension of the strongly symmetric homeomorphism

Yan Wu
, Yi Qi

School of Mathematical Sciences

Beihang University
Linyi University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

It is shown that the complex dilatation of the Douady-Earle extension of a strongly symmetric homeomorphism induces a vanishing Carleson measure on the unit disk D. As application, it is proved that the VMO-Teichmüller space is a subgroup of the universal Teichmüller space.

Original language	English
Pages (from-to)	410-424
Number of pages	15
Journal	Kodai Mathematical Journal
Volume	39
Issue number	2
DOIs	https://doi.org/10.2996/kmj/1467830147
State	Published - 2016

Keywords

Carleson measure
Douady-Earle extension
Strongly symmetric homeomorphism
VMO-Teichmüller space

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title = "Douady-earle extension of the strongly symmetric homeomorphism",

abstract = "It is shown that the complex dilatation of the Douady-Earle extension of a strongly symmetric homeomorphism induces a vanishing Carleson measure on the unit disk D. As application, it is proved that the VMO-Teichm{\"u}ller space is a subgroup of the universal Teichm{\"u}ller space.",

keywords = "Carleson measure, Douady-Earle extension, Strongly symmetric homeomorphism, VMO-Teichm{\"u}ller space",

author = "Yan Wu and Yi Qi",

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language = "英语",

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AU - Wu, Yan

AU - Qi, Yi

PY - 2016

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N2 - It is shown that the complex dilatation of the Douady-Earle extension of a strongly symmetric homeomorphism induces a vanishing Carleson measure on the unit disk D. As application, it is proved that the VMO-Teichmüller space is a subgroup of the universal Teichmüller space.

AB - It is shown that the complex dilatation of the Douady-Earle extension of a strongly symmetric homeomorphism induces a vanishing Carleson measure on the unit disk D. As application, it is proved that the VMO-Teichmüller space is a subgroup of the universal Teichmüller space.

KW - Carleson measure

KW - Douady-Earle extension

KW - Strongly symmetric homeomorphism

KW - VMO-Teichmüller space

UR - https://www.scopus.com/pages/publications/84978224292

U2 - 10.2996/kmj/1467830147

DO - 10.2996/kmj/1467830147

M3 - 文章

AN - SCOPUS:84978224292

SN - 0386-5991

VL - 39

SP - 410

EP - 424

JO - Kodai Mathematical Journal

JF - Kodai Mathematical Journal

IS - 2

ER -

Douady-earle extension of the strongly symmetric homeomorphism

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Keywords

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