Characterizations of differentiability for h-convex functions in stratified groups
Classical Analysis and ODEs
2010-09-30 v1
Abstract
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.
Cite
@article{arxiv.1009.5692,
title = {Characterizations of differentiability for h-convex functions in stratified groups},
author = {Valentino Magnani and Matteo Scienza},
journal= {arXiv preprint arXiv:1009.5692},
year = {2010}
}