| Beurling-Ahlfors延拓的伸张函数 |
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| 引用本文： | 龙波涌,黄心中.Beurling-Ahlfors延拓的伸张函数[J].数学杂志,2006,26(4):446-450. |
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| 作者姓名： | 龙波涌 黄心中 |
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| 作者单位： | 1. 安徽大学数学与计算科学学院,安徽合肥,230039
2. 华侨大学数学系,福建泉州,362011 |
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| 摘 要： | 本文研究了实轴上的保向同胚映照到上半平面的Beurling-Ahlfors延拓的性质.对上半平面及实轴附近的伸张函数分别作了估计,获得了一个最佳估计,改进了已有的结果.
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| 关 键 词： | Beurling-Ahlfors延拓 伸张函数 拟对称函数 |
| 文章编号： | 0255-7797（2006）04-0446-05 |
| 收稿时间： | 2003-11-24 |
| 修稿时间： | 2003-11-24 |
DILATATION FUNCTION OF BEURLING-AHLFORS EXTENSION |
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| LONG Bo-yong,HUANG Xin-zhong.DILATATION FUNCTION OF BEURLING-AHLFORS EXTENSION[J].Journal of Mathematics,2006,26(4):446-450. |
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| Authors: | LONG Bo-yong HUANG Xin-zhong |
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| Institution: | 1. School of Math. and Computing Scinece , Anhui University, He f ei 230039, China;2. Dept. of Math. , Huaqiao University ,Quanzhou 362011 ,China |
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| Abstract: | In this paper, the properties of dilatation function of Beurling-Ahlfors extension from sense-preserving homeomorphism on the real axis to the upper half plane are studied. We obtain a further estimate on dilatation function on the upper half plane and near the real axis.One of our results is sharp,and some original results are improved. |
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| Keywords: | Beurling-Ahlfors extension dilatation function quasi-symmetric function |
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