A model of universal Teichmüller space and its application

Yueming Kang; Tao Cheng; Jixiu Chen

doi:10.1017/S0004972708000026

A model of universal Teichmüller space and its application

Yueming Kang^*
, Tao Cheng
, Jixiu Chen

^*Corresponding author for this work

Fudan University
Jiangxi Normal University
CAS - Academy of Mathematics and System Sciences

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

Abstract

In this paper, one model of the universal Teichmller space is studied. By the method of construction, the lower bound of the inner radius of univalency by the Pre-Schwarzian derivative of quasidisks with infinity as an inner point (such as domains bounded by ellipses) is obtained.

Original language	English
Pages (from-to)	21-30
Number of pages	10
Journal	Bulletin of the Australian Mathematical Society
Volume	77
Issue number	1
DOIs	https://doi.org/10.1017/S0004972708000026
State	Published - Feb 2008
Externally published	Yes

Keywords

Inner radius of univalency
Pre-Schwarzian derivative
Quasiconformal extension
Universal Teichmller space

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10.1017/S0004972708000026

Cite this

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title = "A model of universal Teichm{\"u}ller space and its application",

abstract = "In this paper, one model of the universal Teichmller space is studied. By the method of construction, the lower bound of the inner radius of univalency by the Pre-Schwarzian derivative of quasidisks with infinity as an inner point (such as domains bounded by ellipses) is obtained.",

keywords = "Inner radius of univalency, Pre-Schwarzian derivative, Quasiconformal extension, Universal Teichmller space",

author = "Yueming Kang and Tao Cheng and Jixiu Chen",

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AU - Kang, Yueming

AU - Cheng, Tao

AU - Chen, Jixiu

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N2 - In this paper, one model of the universal Teichmller space is studied. By the method of construction, the lower bound of the inner radius of univalency by the Pre-Schwarzian derivative of quasidisks with infinity as an inner point (such as domains bounded by ellipses) is obtained.

AB - In this paper, one model of the universal Teichmller space is studied. By the method of construction, the lower bound of the inner radius of univalency by the Pre-Schwarzian derivative of quasidisks with infinity as an inner point (such as domains bounded by ellipses) is obtained.

KW - Inner radius of univalency

KW - Pre-Schwarzian derivative

KW - Quasiconformal extension

KW - Universal Teichmller space

UR - https://www.scopus.com/pages/publications/41149164770

U2 - 10.1017/S0004972708000026

DO - 10.1017/S0004972708000026

M3 - 文章

AN - SCOPUS:41149164770

SN - 0004-9727

VL - 77

SP - 21

EP - 30

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 1

ER -

A model of universal Teichmüller space and its application

Abstract

Keywords

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