Generalized Beurling-Ahlfors'Theorem  

作　　者：方爱农 

机构地区：[1]Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, China

出　　处：《Science China Mathematics》1995年第9期1060-1069,共10页中国科学：数学（英文版）

基　　金：the National Natural Science Foundation of China (Tian Yuan) and Shanghai Jiaotong University

摘　　要：A generalized Beurling-Ahlfors’ Theorem for the self homeomorphism f of the upper half plane with the sphere dilatation H(z,f) L (H) is established and the property of weighted quasi-isometry for the generalized Beurling-Ahlfors’ extension is studied.A generalized Beurling-Ahlfors' Theorem for the self homeomorphism f of the upper half plane with the sphere dilatation H(z,f) L (H) is established and the property of weighted quasi-isometry for the generalized Beurling-Ahlfors' extension is studied.

关 键 词：quasicircle BOUNDARY VALUE problem quasiconformal EXTENSION quasisymmetric function μ-homeomorphism. 

分 类 号：O189[理学—数学]