| μ(z) -同胚的边界性质 |
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| 引用本文： | 陈志国.μ(z) -同胚的边界性质[J].数学物理学报(A辑),2007,27(1):67-76. |
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| 作者姓名： | 陈志国 |
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| 作者单位： | 浙江大学数学系 杭州 |
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| 摘 要： | 该文讨论μ(z) -同胚的边界性质.给出了一个充分条件,使得上半平面的μ(z) -自同胚可以拓扑地向边界延拓. 用μ(z) -同胚的伸张函数估计了ρ -函数.
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| 关 键 词： | Beltrami方程 拟共形映射 μ(z) -同胚 ρ -函数 伸张函数 |
| 文章编号： | 1003-3998(2007)01-067-07 |
| 收稿时间： | 2005-03-17 |
| 修稿时间： | 2005-03-17 |
Boundary Behavior of μ(z)-homeomorphisms |
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| Chen Zhiguo.Boundary Behavior of μ(z)-homeomorphisms[J].Acta Mathematica Scientia,2007,27(1):67-76. |
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| Authors: | Chen Zhiguo |
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| Institution: | Department of Mathematics, Zhejiang University, Hangzhou 310027 |
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| Abstract: | In this paper the author studies the boundary behavior of μ(z)-homeomorphisms. A sufficient condition is given such that the μ(z)-homeomorphism of the upper half plane onto itself can be topologically extended to the boundary. The auther also estimates the ρ-function by the dilatation function of μ(z)-homeo morphism. |
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| Keywords: | Beltrami equationzz Quasiconformal mappingzz μ(z)-homeomorphismzz
ρ-functionzz Dilatation functionzz |
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