Calculus of Variations and Geometric Measure Theory
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V. Magnani - M. Scienza

Regularity estimates for convex functions in Carnot-Carathéodory spaces

created by magnani on 14 Jun 2012
modified on 18 Jun 2015


Accepted Paper

Inserted: 14 jun 2012
Last Updated: 18 jun 2015

Journal: Rev. Mat. Iberoam.
Year: 2014


We prove some regularity estimates for a class of convex functions in Carnot-Carathéodory spaces, generated by Hörmander vector fields. Our approach relies on both the structure of metric balls induced by Hörmander vector fields and upper estimates for subsolutions of sub-Laplacians.

Keywords: convexity, Carnot-Carathéodory spaces, Lipschitz estimates, Hörmander condition


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