On the Poincaré inequality for vector fields

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".

Detalles Bibliográficos
Autores principales: Lanconelli, E., Morbidelli, D., Lassalle, S., Zalduendo, I.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00042080_v38_n2_p327_Lanconelli
Aporte de:
Descripción
Sumario: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".