[1]朱剑锋,黄心中.区间上拟对称函数的延拓定理[J].华侨大学学报(自然科学版),2007,28(1):83-87.[doi:10.3969/j.issn.1000-5013.2007.01.022]
　ZHU Jian-feng,HUANG Xin-zhong.The Extension Theorem of Quasisymmetric Function on the Interval[J].Journal of Huaqiao University(Natural Science),2007,28(1):83-87.[doi:10.3969/j.issn.1000-5013.2007.01.022]
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区间上拟对称函数的延拓定理()
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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1期
页码:
83-87
栏目:
出版日期:
2007-01-20

文章信息/Info

Title:
The Extension Theorem of Quasisymmetric Function on the Interval
文章编号:
1000-5013(2007)01-0083-05
作者:
朱剑锋; 黄心中
华侨大学数学系; 华侨大学数学系 福建泉州362021; 福建泉州362021
Author(s):
ZHU Jian-feng;  HUANG Xin-zhong
Department of Mathematics, Huaqiao University, Quanzhou 362021, China
关键词:
拟共形映照;  拟对称函数;  偏差;  延拓定理
Keywords:
quasiconformal mapping;  quasisymmetric function;  distortion;  extension theorem
分类号:
O174.55
DOI:
10.3969/j.issn.1000-5013.2007.01.022
文献标志码:
A
摘要:
探索区间上的K-拟对称函数可延拓成整个实轴R上拟对称函数的条件,并对其拟对称的偏差界限作进一步的估计,得到比Lehto和Virtanen研究相应问题更好的结果.作为应用,文中还进一步估计化分段拟对称函数为整体拟对称函数的偏差.
Abstract:
The interval quasi-symmetric function can be extended to the whole X axis one is studied,the better distortion than Lehto and Virtanen′s is obtained.As an application,sharper research also made on piecewise quasi-symmetric function that can be extended into the whole one.

参考文献/References:

[1] BEURLING A, AHLFORS L. The boundary correspondence under quasiconformal mappings [J]. Acta Mathematica, 1956.125-142.doi:10.1007/BF02392360.
[2] LEHTO O, VIRTANEN K I. Quasiconfomal mappings in the plane [M]. New York:Springer-verlag, 1973.89-90.
[3] HEINONEN J, HINKKANEN A. Quasiconformal maps between compact polyhedera are quasisymmetric [J]. Indiana University Mathematics Journal, 1996.997-1019.
[4] 黄心中. 分段与整体拟对称函数之间的关系 [J]. 华侨大学学报(自然科学版), 1999(1):1-5.
[5] 王朝祥, 黄心中. 分段拟对称为整体拟对称函数的偏差估计 [J]. 华侨大学学报(自然科学版), 2003(4):346-348.doi:10.3969/j.issn.1000-5013.2003.04.002.

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备注/Memo

备注/Memo:
福建省自然科学基金资助项目(Z0511025)
更新日期/Last Update: 2014-03-23