Inserted: 11 jan 2012
Last Updated: 18 jan 2014
Journal: Proc. Amer. Math. Soc.
We extend Dudley’s characterization of convex functions to the framework of h-convex distributions on stratified groups. Precisely, we prove that every distribution with nonnegative horizontal Hessian is defined by an h-convex function.
Keywords: distributions, convexity, stratified groups