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arXiv · 0901.2910

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

Brian Street
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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.

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Brian Street. 2011-01-14. Multi-parameter Carnot-Caratheodory balls and the theorem of Frobenius. https://arxiv.org/abs/0901.2910

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