| Some Properties of an Operator on L^∞（△） and Its Applications |
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| 引用本文： | Na SUN. Some Properties of an Operator on L^∞（△） and Its Applications[J]. 数学学报(英文版), 2007, 23(10): 1909-1914. DOI: 10.1007/s10114-005-0873-1 |
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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： | 2004-06-24 |
| 修稿时间： | 2004-06-24 |
Some Properties of an Operator on L∞(Δ) and Its Applications |
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| Na Sun. Some Properties of an Operator on L∞(Δ) and Its Applications[J]. Acta Mathematica Sinica(English Series), 2007, 23(10): 1909-1914. DOI: 10.1007/s10114-005-0873-1 |
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| Authors: | Na Sun |
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| Affiliation: | (1) LMAM and School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China |
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| Abstract: | In this paper, we introduce an operator H μ (z) on L ∞(Δ) 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 τ in the universal Teichmüller space T(Δ) to be a Strebel point is obtained. 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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| Keywords: | norm Hamilton sequence extremal Beltrami coefficient Strebel point |
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