ON A PROBLEM OF E.REICH  

作　　者：吴泽民 

机构地区：[1]福建泉州师专数学系,362000

出　　处：《Journal of Shanghai Jiaotong university(Science)》2000年第2期112-113,共2页上海交通大学学报（英文版）

基　　金：National Natural Science foundation ofChina!( No.195310 60 ) ;Doctor Fundsof National Education Committec!( 970 2 4 811)

摘　　要：In 1981, E. Reich established a theorem which stated a sufficient condition for a quasiconformal mapping to be a unique extremal mapping with the given boundary value, and asked whether or not such a uniquely extremal mapping was a Teichmüller mapping in his remark. In this paper, the above open problem was solved and consequently the theorem was strengthened.In 1981, E. Reich established a theorem which stated a sufficient condition for a quasiconformal mapping to be a unique extremal mapping with the given boundary value, and asked whether or not such a uniquely extremal mapping was a Teichmüller mapping in his remark. In this paper, the above open problem was solved and consequently the theorem was strengthened.

关 键 词：quasiconformal MAPPINGS uniquely EXTREMAL MAPPING TEICHMÜLLER MAPPING Document code:A 

分 类 号：O189.1[理学—数学]