H-convex distributions in stratified groups

Bonfiglioli, A.; Lanconelli, E.; Magnani, V.; Scienza, M.

doi:10.1090/S0002-9939-2013-11653-9

H-convex distributions in stratified groups
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by A. Bonfiglioli, E. Lanconelli, V. Magnani and M. Scienza PDF

Proc. Amer. Math. Soc. 141 (2013), 3633-3638 Request permission

Abstract:

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.

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