Arkiv för Matematik

, Volume 38, Issue 2, pp 327–342

On the Poincaré inequality for vector fields

  • Ermanno Lanconelli
  • Daniele Morbidelli
Article

DOI: 10.1007/BF02384323

Cite this article as:
Lanconelli, E. & Morbidelli, D. Ark. Mat. (2000) 38: 327. doi:10.1007/BF02384323

Abstract

We prove the Poincaré inequality for vector fields on the balls of the control distance by integrating along subunit paths. Our method requires that the balls are representable by means of suitable “controllable almost exponential maps”.

Copyright information

© Institut Mittag-Leffler 2000

Authors and Affiliations

  • Ermanno Lanconelli
    • 1
  • Daniele Morbidelli
    • 1
  1. 1.Dipartimento di MatematicaUniversità di BolognaBolognaItaly