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Some Properties of an Operator on L^∞(△) and Its Applications
作者姓名:Na  SUN
作者单位:LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China
基金项目:Supported by the National Science Foundation of China (Grants No.10171003 and 10231040) and the Doctoral Education Program Foundation of China
摘    要:In this paper, we introduce an operator Hμ(z) on L^∞(△) and obtain some of its properties. Some applications of this operator to the extremal problem of quasiconformal mappings are given. In particular, a sufficient condition for a point r in the universal Teichmfiller space T(△) to be a Strebel point is obtained.

关 键 词:Hamilton空间  极值Beltrami系数  Strebel点  算子
收稿时间:24 June 2004
修稿时间:2004-06-24
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