Revista Matemática Iberoamericana

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

Brian Street

Abstract

We study multi-parameter Carnot-Carathéodory 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-Carathéodory balls.

Article information

Source
Rev. Mat. Iberoamericana, Volume 27, Number 2 (2011), 645-732.

Dates
First available in Project Euclid: 10 June 2011

https://projecteuclid.org/euclid.rmi/1307713041

Mathematical Reviews number (MathSciNet)
MR2848534

Zentralblatt MATH identifier
1222.53036

Citation

Street, Brian. Multi-parameter Carnot-Carathéodory balls and the theorem of Frobenius. Rev. Mat. Iberoamericana 27 (2011), no. 2, 645--732. https://projecteuclid.org/euclid.rmi/1307713041

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