Multi-parameter Carnot-Caratheodory balls and the theorem of Frobenius
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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2009
- DOI:
- 10.48550/arXiv.0901.2910
- arXiv:
- arXiv:0901.2910
- Bibcode:
- 2009arXiv0901.2910S
- Keywords:
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- Mathematics - Classical Analysis and ODEs;
- Mathematics - Differential Geometry;
- Mathematics - Metric Geometry
- E-Print:
- Final version, to appear in Rev. Mat. Ibero