[1]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),2003,24(4):345-348.[doi:10.3969/j.issn.1000-5013.2003.04.002]
　Wang Chaoxiang,Huang Xinzhong.Estimate the Distortion for a Piecewise Quasi-Symmetric Function to be Turned into a Global One[J].Journal of Huaqiao University(Natural Science),2003,24(4):345-348.[doi:10.3969/j.issn.1000-5013.2003.04.002]
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分段拟对称为整体拟对称函数的偏差估计()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第24卷
期数:
2003年第4期
页码:
345-348
栏目:
出版日期:
2003-10-20

文章信息/Info

Title:
Estimate the Distortion for a Piecewise Quasi-Symmetric Function to be Turned into a Global One
文章编号:
1000-5013(2003)04-0345-04
作者:
王朝祥; 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):
Wang Chaoxiang;  Huang Xinzhong
Dept. of Math., Huaqiao Univ., 362011, Quanzhou, China
关键词:
拟对称函数;  拟共形映照;  偏差
Keywords:
quasi symmetric function;  quasi conformal mapping;  distortion
分类号:
O189
DOI:
10.3969/j.issn.1000-5013.2003.04.002
文献标志码:
A
摘要:
进一步研究分段拟对称函数转化为整体拟对称函数的条件 .在相邻区间上关于连接点对称的偏差,限制了整体拟对称偏差的界限 .改进了有关论述分段与整体拟对称函数之间关系所得到的结果
Abstract:
For a piecewise quasi symmetric function to be turned into a global quasi symmetric function, the distortion of this function in relation to the symmetry of junction at adjacent interval plays decisive role; and restricts the bound of global quasi symmetric distortion. In this paper, this distortion bound is further estimated; and the recent results of the authors’ own are improved.

参考文献/References:

[1] Ahlfors L V. Lectures on quasiconformal mappings [M]. New York: Van Nostrand, 1966.63-84.
[2] Beurling A, Ahlfors L. The boundary correspondence under quasiconformal mappings [J]. Acta Mathematica, 1956.125-142.doi:10.1007/BF02392360.
[3] HEINONEN J, Hinkkanen A. Quasiconformal maps between compact polyhedra are quasisymmetric [J]. Indiana University Mathematics Journal, 1996.997-1019.
[4] Hinkkanen A. Asymptotic extremal growth of quasisymmetric functions [J]. Annales Academic Scientiarum Fennicae Mathematica, 1986.295-320.
[5] Visl J. Quasimbius maps [J]. Journal D’Analyse Mathematique, 1984.218-234.doi:10.1007/BF02790198.
[6] 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.

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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