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”.
Funding Statement
Both authors were partially supported by the University of Bologna, funds for selected research topics.
Citation
Ermanno Lanconelli. Daniele Morbidelli. "On the Poincaré inequality for vector fields." Ark. Mat. 38 (2) 327 - 342, October 2000. https://doi.org/10.1007/BF02384323
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