Multi-parameter Carnot-Caratheodory balls and the theorem of Frobenius

被引：0
|
作者：
Street, Brian [1 ]
机构：
[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
来源：
REVISTA MATEMATICA IBEROAMERICANA | 2011年 / 27卷 / 02期
基金：
美国国家科学基金会;
关键词：
Sub-Riemannian geometry; Carnot-Caratheodory geometry; Frobenius theorem; multi-parameter; spaces of homogeneous type; maximal functions; DIFFERENTIAL-OPERATORS; FUNDAMENTAL-SOLUTIONS; SINGULAR-INTEGRALS; VECTOR-FIELDS; GEOMETRY; METRICS; KERNELS; C-2;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study multi-parameter Carnot-Caratheodory balls, generalizing results due to Nagel, Stein and Wainger in the single parameter setting. The main technical result is seen as a uniform version of the theorem of Frobenius. In addition, we study maximal functions associated to certain multi-parameter families of Carnot-Caratheodory balls.
引用
收藏
页码：645 / 732
页数：88
相关论文
共 50 条
12345