Characterizations of differentiability for h-convex functions in stratified groups

2010/09/28 by Magnani, Valentino, Scienza, Matteo
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1009.5692

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.

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