On Hessian measures for non-commuting vector fields
Analysis of PDEs
2007-05-23 v2
Abstract
Previous results on Hessian measures by Trudinger and Wang are extended to the subelliptic case. Specifically we prove the weak continuity of the 2-Hessian operator, with respect to local L1 convergence, for a system of m vector fields of step 2 and derive gradient estimates for the corresponding k-convex functions, k=1,2....m, for arbitrary step.
Keywords
Cite
@article{arxiv.math/0503695,
title = {On Hessian measures for non-commuting vector fields},
author = {Neil S Trudinger},
journal= {arXiv preprint arXiv:math/0503695},
year = {2007}
}
Comments
Minor changes and some extra references