A note on the engulfing property and the Γ^{1+𝛼}-regularity of convex functions in Carnot groups

Capogna, Luca; Maldonado, Diego

doi:10.1090/S0002-9939-06-08359-6

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A note on the engulfing property and the $\Gamma^{1+ \alpha}$ -regularity of convex functions in Carnot groups

Authors: Luca Capogna and Diego Maldonado
Journal: Proc. Amer. Math. Soc. 134 (2006), 3191-3199
MSC (2000): Primary 35Hxx, 52A30
Posted: May 9, 2006
MathSciNet review: 2231902
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Abstract: We study the engulfing property for convex functions in Carnot groups. As an application we show that the horizontal gradient of functions with this property is Hölder continuous.

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