On Hessian measures for non-commuting vector fields

Details On Hessian measures for non-commuting vector fields On Hessian measures for non-commuting vector fields

2005-03-30

arxiv.org/abs/math/0503695v2

Mathematics

Analysis of PDEs

Minor changes and some extra references

Scientific paper

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.

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