Regularity estimates for convex functions in Carnot–Carathéodory spaces
Valentino Magnani
Università di Pisa, ItalyMatteo Scienza
Università di Pisa, Italy
![Regularity estimates for convex functions in Carnot–Carathéodory spaces cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rmi-volume-32-issue-3.png&w=3840&q=90)
Abstract
We prove some first order 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 local upper estimates for the corresponding subharmonic functions.
Cite this article
Valentino Magnani, Matteo Scienza, Regularity estimates for convex functions in Carnot–Carathéodory spaces. Rev. Mat. Iberoam. 32 (2016), no. 3, pp. 835–858
DOI 10.4171/RMI/900