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

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

2009-01-19

arxiv.org/abs/0901.2910v4

Mathematics

Classical Analysis and ODEs

Final version, to appear in Rev. Mat. Ibero

Scientific paper

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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