[1]林珍连.关于“Beurling-Ahlfors扩张的推广”一文的一点注[J].华侨大学学报(自然科学版),2007,28(3):335-336.[doi:10.3969/j.issn.1000-5013.2007.03.029]
　LIN Zhen-lian.A Note on the Paper of the Generalization of Beurling-Ahlfors′ Extension[J].Journal of Huaqiao University(Natural Science),2007,28(3):335-336.[doi:10.3969/j.issn.1000-5013.2007.03.029]
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关于“Beurling-Ahlfors扩张的推广”一文的一点注()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第28卷
期数:
2007年第3期
页码:
335-336
栏目:
出版日期:
2007-07-20

文章信息/Info

Title:
A Note on the Paper of the Generalization of Beurling-Ahlfors′ Extension
文章编号:
1000-5013(2007)03-0335-02
作者:
林珍连
华侨大学数学科学学院 福建泉州362021
Author(s):
LIN Zhen-lian
School of Mathematics Science, Huaqiao University, Quanzhou 362021, China
关键词:
M-条件;  拟共形映照;  Beurling-Ahlfors扩张;  复特征;  局部伸缩商
Keywords:
M-condition;  quasiconformal mapping;  Beurling-Ahlfors′ extension;  complex dilatation;  local dilatation quotient
分类号:
O174.55
DOI:
10.3969/j.issn.1000-5013.2007.03.029
文献标志码:
A
摘要:
郑学良在"Beurling-Ahlfors扩张的推广"一文中指出,实轴R上保持∞点不动的严格单调增加连续,也就是放弃M-条件,其Beurling-Ahlfors扩张仍然具有局部拟共形性.文中以反例指出,这个论断是错误的.
Abstract:
ZHENG Xue-liang′s paper "The Generlization of Beurling-Ahlfors′ Extension" says that the Beurling-Ahlfors′ extension still possesses local quasiconformality without M-condition.In this paper we shall give a counter example to illustrate the result is not true.

参考文献/References:

[1] Beurling A, Ahlfors L. The boundary corrending under quasiconformal mappings [J]. Acta Mathematica, 1956.125-142.
[2] 郑学良. Beurling-Ahlfors 扩张的推广 [J]. 浙江师范大学学报(自然科学版), 1995(3):16-17.

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备注/Memo

备注/Memo:
福建省自然科学基金资助项目(S0650019)
更新日期/Last Update: 2014-03-23