Local boundary dilatation of quasiconformal maps

作     者：QI Yi 

作者机构：Department of Applied Mathematics LIMB of the Ministry of Education Beijing University of Aeronautics and Astronautics Beijing 100083 China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2005年第48卷第6期

页      面：798-807页

核心收录：

学科分类：07[理学] 08[工学] 

基　　金：The author would like to thank Professor Cui Guizhen for helpful discussions.This work was supported by the National Natural Science Foundation of China(Grant No.10271063) 

主　　题：quasiconformal map Teichmiiiler space. 

摘      要：By studying the existence problem of locally extremal Beltrami differential posed by F. Gardiner and N. Lakic, we introduce a new definition of the local boundary dilatations of points in Teichmuller spaces of simply connected plane domains, which is the same as the usual ones in the case of Jordan domains. Then we show that the answer to the problem of F. Gardiner and N. Lakic is affirmative according to this new definition. Comparing with the usual definitions, the problem of F. Gardiner and N. Lakic is partly answered and the results of G. Cui and Y. Qi is generalized.