arXiv:1206.3070 Abstract | arXiv Analytics

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Regularity estimates for convex functions in Carnot-Carathéodory spaces

Published 2012-06-14, updated 2014-08-06Version 2

We prove some regularity estimates for a class of convex functions in Carnot-Carath\'eodory spaces, generated by H\"ormander vector fields. Our approach relies on both the structure of metric balls induced by H\"ormander vector fields and local upper estimates for the corresponding subharmonic functions.

Comments: 25 pages

Categories: math.AP

Subjects: 35H20, 26B25

Keywords: regularity estimates, convex functions, carnot-carathéodory spaces, vector fields, local upper estimates

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