We prove some first order regularity estimates for a class of convex functions in Carnot-Caratheodory spaces, generated by Hörmander vector fields. Our approach relies on both the structure of metric balls induced by Hörmander vector fields and local upper estimates for the corresponding subharmonic functions.
Regularity estimates for convex functions in Carnot-Carathéodory spaces
MAGNANI, VALENTINO;
2016-01-01
Abstract
We prove some first order regularity estimates for a class of convex functions in Carnot-Caratheodory spaces, generated by Hörmander vector fields. Our approach relies on both the structure of metric balls induced by Hörmander vector fields and local upper estimates for the corresponding subharmonic functions.File in questo prodotto:
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