First-order regularity of convex functions on Carnot Groups
Authors:
Matthieu Rickly
Affiliation:
(1) Institute of Mathematics, University of Bern, Sidlerstrasse 5, 3012 Bern, Switzerland
Abstract:
We prove that h-convex functions on Carnot groups of step two are locally Lipschitz continuous with respect to any intrinsic metric. We show that an additional measurability condition implies the local Lipschitz continuity of h-convex functions on arbitrary Carnot groups. To the Memory of Q. G.