[1]陈行堤.一类拟圆盘的一些几何特征[J].华侨大学学报(自然科学版),2003,24(4):354-357.[doi:10.3969/j.issn.1000-5013.2003.04.004]
　Chen Xingdi.Some Geometric Features of a Class of Quasidisk[J].Journal of Huaqiao University(Natural Science),2003,24(4):354-357.[doi:10.3969/j.issn.1000-5013.2003.04.004]
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一类拟圆盘的一些几何特征()
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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:
354-357
栏目:
出版日期:
2003-10-20

文章信息/Info

Title:
Some Geometric Features of a Class of Quasidisk
文章编号:
1000-5013(2003)04-0354-04
作者:
陈行堤
华侨大学应用数学系 福建泉州362011
Author(s):
Chen Xingdi
Dept. of Math., Huaqiao Univ., 362011, Quanzhou, China
关键词:
拟圆盘;  Poincaré尺度;  Schwarz导数
Keywords:
quasidisk;  Poincaré metric;  Schwarzian derivative
分类号:
O182.1
DOI:
10.3969/j.issn.1000-5013.2003.04.004
文献标志码:
A
摘要:
研究一类拟圆盘的几何特征 .相应于 Chuaqui和 Osgood的结果,文中对一类拟圆盘Poincaré尺度的对数梯度进行上、下界估计,进一步完善其结果
Abstract:
For studying geometric features of a class of quasidisk, the upper and lower bounds of the logarithmic gradient of their Poincaré metric are estimated. The present work corresponds with the results from Chuaqui and Osgood in 1994 and further perfects their results.

参考文献/References:

[1] Osgood B G. Some properties of f″/f′ and the Poincaré metric [J]. Indiana University Mathematics Journal, 1982.449-461.doi:10.1512/iumj.1982.31.31037.
[2] Huang Xinzhong, Shigeyoshi Owa. On the logarithmic gradient of Poincaré metric [J]. Proceedings of the Japan Academy, 1994(7):235-238.doi:10.3792/pjaa.70.235.
[3] Chuaqui M, Osgood B G. Ahlfors-Weill extension of conformal mappings and critical points of the Poincaré metric [J]. Commentarii Mathematici Helvetici, 1994.659-668.doi:10.1007/BF02564508.
[4] Chuaqui M, Osgood B G. Sharp distortion theorems associated with the Schwarzian derivative [J]. Journal of Mathematical Sociology, 1993(2):289-298.doi:10.1112/jlms/s2-48.2.289.

备注/Memo

备注/Memo:
华侨大学科研基金资助项目(02HZR12)
更新日期/Last Update: 2014-03-23