Regularity estimates for convex functions in Carnot-Carath\'eodory spaces
Analysis of PDEs
2014-08-07 v2
Abstract
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.
Cite
@article{arxiv.1206.3070,
title = {Regularity estimates for convex functions in Carnot-Carath\'eodory spaces},
author = {Valentino Magnani and Matteo Scienza},
journal= {arXiv preprint arXiv:1206.3070},
year = {2014}
}
Comments
25 pages