Sewing homeomorphism and conformal invariants

被引：0

作者：

Tao Cheng

Hui Qiang Shi

Shanshuang Yang

机构：

[1] East China Normal University,Department of Mathematics, Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice

[2] Emory University,Department of Mathematics and Computer Sciences

[3] Hu’nan University of Commerce,School of Mathematics and Statistics

来源：

Acta Mathematica Sinica, English Series | 2017年 / 33卷

关键词：

Bi-Lipschitz; bi-Hölder; quasicircle; modulus; reduced extremal distance; 30C62; 30C70;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper is devoted to the study of some fundamental properties of the sewing homeomorphism induced by a Jordan domain. In particular, using conformal invariants such as harmonic measure, extremal distance, and reduced extremal distance, we give several necessary and sufficient conditions for the sewing homeomorphism to be bi-Lipschitz or bi-Hölder. Furthermore, equivalent conditions for a Jordan curve to be a quasicircle are also obtained.

引用

页码：1321 / 1338

页数：17

共 5 条

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[2]

Ahlfors L. V.(1999)Characterizations of Quasidisks. Quasiconformal Geometry and Dynamics Banach Center Publications 48 11-41

[3]

Gehring F. W.(1987)Quasicircles and harmonic measure Ann. Acad. Sci. Fenn. Ser. A. I. Math. 12 19-24

[4]

Krzyz J. G.(2001)Quasicircles modulo bilipschitz maps Rev. Mat. Iberoam. 17 643-659

[5]

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