Douady-Earle延拓中用到的拟共形映照参数表示  

Parametric Representation of Douady-Earle Quasiconformal Extension

作　　者：林珍连[1] LIN Zhenlian(School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China)

机构地区：[1]华侨大学数学科学学院,福建泉州362021

出　　处：《华侨大学学报（自然科学版）》2024年第6期808-811,共4页Journal of Huaqiao University(Natural Science)

基　　金：国家自然科学基金资助项目(11471128,11971182);福建省自然科学基金资助项目(2023J01127)。

摘　　要：假设f^(μ(z))(z)是单位圆D到自身保持-1,i,1不动,具有复特征μ(z)的Douady-Earle延拓。借助于上半平面到自身保持0,1,∞三点不动的拟共形映射的参数表示,利用单位圆到上半平面的共形映射,给出Douady-Earle延拓f^(μ(z))(z)的参数表示。Suppose f^(μ(z))(z)is a Douady-Earle extension of the unit disk D onto itself with the complex dilatationμ(z),which kept-1,i,1 fixed.With the help of the parametric representation of the quasiconformal mapping of the upper half plane onto itself which kept 0,1,∞fixed,by using the conformal mapping from the unit disk to the upper half plane,the parametric representation of the Douady-Early extension f^(μ(z))(z)is given.

关 键 词：拟共形映照 参数表示 复特征 Douady-Earle延拓 

分 类 号：O174.55[理学—数学]