On a Relation between the Universal Teichmu¨ller Space and the Grunsky Operator

作     者：Masahiro YANAGISHITA 

作者机构：Departments in Fundamental Science and EngineeringWaseda University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2014年第30卷第4期

页      面：591-600页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Japan Society for the Promotion of Science  JSPS  (14J03444) 

主　　题：Quasiconformal mappings Strebel points Grunsky inequalities 

摘      要：Being a Strebel point gives a sufficient condition for that the extremal Beltrami coefficient is uniquely determined in a Teichmiiller equivalence class. We consider how Strebel points are characterized. In this paper, we will give a new characterization of Strebel points in a certain subset of the universal Teichmfiller space by a property of the Grunsky operator.