Approximation of Piecewise Affine Homeomorphisms by Diffeomorphisms

被引：0
|
作者：
Carlos Mora-Corral
Aldo Pratelli
机构：
[1] University Autónoma of Madrid,Faculty of Sciences, Dept. of Mathematics
[2] University of Erlangen,Dept. of Mathematics
来源：
The Journal of Geometric Analysis | 2014年 / 24卷
关键词：
Approximation of homeomorphisms; Piecewise affine homeomorphisms; Diffeomorphisms; 41A29; 41A30; 57Q55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove that any countably piecewise affine homeomorphism from an open set of ℝ2 can be approximated, together with its inverse, by diffeomorphisms in the W1,p and the L∞ norms.
引用
收藏
页码：1398 / 1424
页数：26
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