Characterizations of differentiability for h-convex functions in stratified groups
Ann. Scuola Norm. Sup. Pisa Cl. Sci.
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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