| 上半平面某类调和拟共形映照的特征估计 |
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| 引用本文： | 林珍连.上半平面某类调和拟共形映照的特征估计[J].华侨大学学报(自然科学版),2016,0(1):125-128. |
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| 作者姓名： | 林珍连 |
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| 作者单位： | 华侨大学 数学科学学院, 福建 泉州 362021 |
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| 摘 要： | 给出以h(x)=x+k/πsin πx,0≤k<1为边界值的上半平面到自身的调和拟共形延拓表达式及其特征估计.结果表明:该调和拟共形延拓比Beurling-Ahlfors延拓更优.
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| 关 键 词： | 最大特征 拟共形延拓 调和拟共形映照 Hilbert变换 |
Dilatation Estimate for Some Kinds of Harmonic Quasiconformal Mappings of the Half Plane Onto Itself |
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| LIN Zhenlian.Dilatation Estimate for Some Kinds of Harmonic Quasiconformal Mappings of the Half Plane Onto Itself[J].Journal of Huaqiao University(Natural Science),2016,0(1):125-128. |
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| Authors: | LIN Zhenlian |
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| Institution: | School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China |
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| Abstract: | In this paper, the harmonic quasiconformal extension expressions for upper half plane onto itself with boundary correspondence h(x)=x+k/πsin πx, 0≤k<1 and their dilatations estimates are given, which shows that it is better than Beurling-Ahlfors extension. |
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| Keywords: | maximal dilatation quasiconformal extension harmonic quasiconformal mapping Hilbert transformation |
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