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ON CRITERION OF THE EXTREMALITY ANDCONSTRUCTION OF HAMILTON SEQUENCESFOR A CLASS OF TEICHMLLER MAPPINGS 被引量:2

ON CRITERION OF THE EXTREMALITY AND CONSTRUCTION OF HAMILTON SEQUENCES FOR A CLASS OF TEICHMLLER MAPPINGS
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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.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 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
关键词 Teichmüller mapping EXTREMALITY Hamilton sequence 泰希米勒映射 极值 哈密尔顿序列 判别法
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  • 1Lai W,Chin Ann Math B,1995年,16卷,14期,399页

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