Characterizations of differentiability for h-convex functions in stratified groups

Details Characterizations of differentiability for h-convex functions in stratified groups Characterizations of differentiability for h-convex functions in stratified groups

2010-09-28

arxiv.org/abs/1009.5692v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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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