A DISTANCE ESTIMATE ON THE BOUNDARY OF A CONFORMAL DEFORMATION OF THE UNIT BALL SATISFYING A HARNACK INEQUALITY AND THE GEHRING-HAYMAN PROPERTY

被引：0
|
作者：
Tossavainen, Timo [1 ]
机构：
[1] Univ Eastern Finland, Sch Appl Educ Sci & Teacher Educ, FI-57101 Savonlinna, Finland
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2010年 / 35卷 / 01期
关键词：
Conformal deformation; conformal metric; Harnack inequality; Gehring-Hayman theorem; METRICS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish some bounds for the natural distance function on the boundary of such a conformal deformation of the unit ball B(n), n >= 2, that satisfies a Harnack inequality and the condition of the Gehring-Hayman theorem. The construction is useful especially for those points for which the radial limit exists.
引用
收藏
页码：175 / 178
页数：4
相关论文
共 4 条
1