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.
A. Bonfiglioli, E. Lanconelli, V. Magnani, M. Scienza (2013). H-convex distributions in stratified groups. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 141(Number 10), 3633-3638 [10.1090/S0002-9939-2013-11653-9].
H-convex distributions in stratified groups
BONFIGLIOLI, ANDREA;LANCONELLI, ERMANNO;
2013
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.File in questo prodotto:
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