[1]龙波涌,黄心中.Beurling-Ahlfors延拓的伸张函数之估计[J].华侨大学学报(自然科学版),2004,25(2):126-129.[doi:10.3969/j.issn.1000-5013.2004.02.004]
　Long Boyong,Huang Xinzhong.Estimating Dilatation Function of Beurling-Ahlfors Extension[J].Journal of Huaqiao University(Natural Science),2004,25(2):126-129.[doi:10.3969/j.issn.1000-5013.2004.02.004]
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Beurling-Ahlfors延拓的伸张函数之估计()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第25卷
期数:
2004年第2期
页码:
126-129
栏目:
出版日期:
2004-04-20

文章信息/Info

Title:
Estimating Dilatation Function of Beurling-Ahlfors Extension
文章编号:
1000-5013(2004)02-0126-04
作者:
龙波涌; 黄心中
华侨大学数学系; 华侨大学数学系 福建泉州362011; 福建泉州362011
Author(s):
Long Boyong;  Huang Xinzhong
Dept. of Math., Huaqiao Univ., 362011, Quanzhou, China
关键词:
Beurling-Ahlfors延拓;  伸张函数;  拟对称函数
Keywords:
Beurling-Ahlfors extension;  dilatation function;  quasi-symmetric function
分类号:
O174.51
DOI:
10.3969/j.issn.1000-5013.2004.02.004
文献标志码:
A
摘要:
研究实轴R1上的保向同胚映照到上半平面Beurling Ahlfors延拓的伸张函数的性质 .通过证明几个不等式,对伸张函数D(z)作进一步的估计,改进了相关的结果 .
Abstract:
With regard to Beurling-Ahlfors extension from sense-preserving homeomorphism on real axis R 1 to the upper half plane, the authors make a study on the properties of its dilatation function; and form a further estimate of dilatation function D(z) through proving several inequalities by which some known results are improved.

参考文献/References:

[1] Ahlfors L V. Lectures on Quasiconformal Mappings [M]. New York: Nostrand Company, 1966.63-73.
[2] Lehtinen M. The dilatation of Beurling-Ahlfors extension of quasisymmetric functions [J]. Annales Academic Scientiarum Fennicae Mathematica, 1983(1):187-191.
[3] Chen Jixiu, Chen Zhiguo, He Chengqi. Boundary Correspondence under u(z)-Homeomorphisms [J]. MICHIGAN MATHEMATICAL JOURNAL, 1996, (43):211-220.doi:10.1307/mmj/1029005458.
[4] 郑学良. Beurling-Ahlfors扩张的伸张函数与ID-同胚 [J]. 数学学报, 2002(5):1035-1040.doi:10.3321/j.issn:0583-1431.2002.05.027.

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备注/Memo

备注/Memo:
国务院侨务办公室重点科研基金资助项目(01QZR01)
更新日期/Last Update: 2014-03-23