Some Properties of an Operator on L^∞(△) and Its Applications |
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作者姓名: | Na SUN |
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作者单位: | LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China |
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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 |
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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.
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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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