[1]林峰.Beurling-Ahlfors扩张的伸张函数的边界极限[J].华侨大学学报(自然科学版),2004,25(4):352-355.[doi:10.3969/j.issn.1000-5013.2004.04.004]
　Lin Feng.Boundary Limit of Dilatation Function of Beurling-Ahlfors Extension[J].Journal of Huaqiao University(Natural Science),2004,25(4):352-355.[doi:10.3969/j.issn.1000-5013.2004.04.004]
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Beurling-Ahlfors扩张的伸张函数的边界极限()
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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4期
页码:
352-355
栏目:
出版日期:
2004-10-20

文章信息/Info

Title:
Boundary Limit of Dilatation Function of Beurling-Ahlfors Extension
文章编号:
1000-5013(2004)04-0352-04
作者:
林峰
华侨大学数学系 福建泉州362021
Author(s):
Lin Feng
Dept. of Math., Huaqiao Univ., 362021, Quanzhou, China
关键词:
拟共形映照;  Beurling-Ahlfors扩张;  伸张函数;  边界极限
Keywords:
quasiconformal mapping;  Beurling-Ahlfors extension;  dilatation function;  boundary limit
分类号:
O174.55
DOI:
10.3969/j.issn.1000-5013.2004.04.004
文献标志码:
A
摘要:
设h(x)是实轴R到自身的同胚,讨论h(x)的Beurling Ahlfors扩张的伸张函数在实轴附近的性质,指出一个现有结果的错误并得到新的结果
Abstract:
Let h(x) be the homeomorphism of real axis R onto itself. The author diseusses the properties of h(x) concerning its dilatation function of Beurling-Ahlfors extension in the neighborhood of real axis; and points out an error of existing result and obtains new result.

参考文献/References:

[1] 陈志国. Beurling-Ahlfors扩张的伸张函数的边界性质 [J]. 复旦学报(自然科学版), 1996(4):382-386.
[2] 郑学良. Beurling-Ahlfors扩张的伸张函数与ID同胚 [J]. 数学学报, 2002(5):1036-1040.doi:10.3321/j.issn:0583-1431.2002.05.027.
[3] Lehtinen M. The dilatation of Beurling-Ahlfors extension of quasisymmetric functions [J]. Annales Academic Scientiarum Fennicae Mathematica, 1983(1):187-191.

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更新日期/Last Update: 2014-03-23