Multi-parameter Carnot-Caratheodory balls and the theorem of Frobenius
Classical Analysis and ODEs
2011-01-17 v4 Differential Geometry
Metric Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.0901.2910,
title = {Multi-parameter Carnot-Caratheodory balls and the theorem of Frobenius},
author = {Brian Street},
journal= {arXiv preprint arXiv:0901.2910},
year = {2011}
}
Comments
Final version, to appear in Rev. Mat. Ibero