arXiv subjects

Matteo Scienza

Publications and source records attributed to Matteo Scienza.

2 recordsLinked to original sources

arXiv2014

Regularity estimates for convex functions in Carnot-Carathéodory spaces

We prove some regularity estimates for a class of convex functions in Carnot-Carathéodory 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.

math.AP↗

arXiv2010

Characterizations of differentiability for h-convex functions in stratified groups

Using the notion of h-subdifferential, we characterize both first and second order differentiability of h-convex functions in stratified groups. We show that Aleksandrov's second order differentiability of h-convex functions is equivalent to a suitable differentiability of their horizontal gradient.

math.CA↗