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

@article{Street2009MultiparameterCB,
  title={Multi-parameter Carnot-Carath{\'e}odory balls and the theorem of Frobenius},
  author={B. Street},
  journal={Revista Matematica Iberoamericana},
  year={2009},
  volume={27},
  pages={645-732}
}
  • B. Street
  • Published 2009
  • Mathematics
  • Revista Matematica Iberoamericana
  • 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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