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math.AP2005
On Hessian measures for non-commuting vector fields
Neil S Trudinger
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 t…
math.AP2004
A note on Alxesandrov type theorem for k-convex functions
Nirmalendu Chaudhuri, Neil S. Trudinger
In this note we show that -convex functions on are twice differentiable almost everywhere for every positive integer . This generalizes the classical Alexsandr…