ON CRITERION OF THE EXTREMALITY ANDCONSTRUCTION OF HAMILTON SEQUENCESFOR A CLASS OF TEICHMLLER MAPPINGS  

作　　者：WUZEMIN LAIWANCAI 

机构地区：[1]：DepartmentofAppliedMathematics,ShanghaiJiaotongUniversity,Shanghai200030,China（permanentaddressisDepartmentofMathematics,QuanzhouNormalCollege,Quanzhou362000,Fujian,China）. [2]DepartmentofMathematics,HuaQiaoUniversity,Quanzhou362011,Fujian,China.

出　　处：《Chinese Annals of Mathematics,Series B》2000年第3期339-342,共4页数学年刊（B辑英文版）

基　　金：the National Natural Science Foundation of China!(No.19531060), the DoctoralProgram Fundation of the Ministry of Education o

摘　　要：It is proved that if f is a Teichmuller self-mapping of the unit disk with a holomorphic quadratic deferential and satisfies the growth condition m(ψ，r)= o((1 -r)-), r→1, for any s>1, then f is extremal, and there exists a sequence {tn}, 0<tn<1, /lim, tn =1, such that {(tnz)} is a Hamilton sequence. It is the precision of a theorem of Reich-Strebel in 1974, and gives a fairly satisfactory answer to a question of Reich in 1988.

关 键 词：Teichmüller mapping EXTREMALITY Hamilton sequence 

分 类 号：O174.55[理学—数学]