On Hessian Measures for Non-Commuting Vector Fields
نویسندگان
چکیده
منابع مشابه
3 Ju l 2 00 5 On Hessian measures for non - commuting vector fields
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 L 1 convergence, for a system of m vector fields of step 2 and derive gradient estimates for the corresponding k-convex functions, 1 ≤ k ≤ m.
متن کاملM ar 2 00 5 On Hessian measures for non - commuting vector fields
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 L 1 convergence, for a system of m vector fields of step 2 and derive gradient estimates for the corresponding k-convex functions, 1 ≤ k ≤ m.
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ژورنال
عنوان ژورنال: Pure and Applied Mathematics Quarterly
سال: 2006
ISSN: 1558-8599,1558-8602
DOI: 10.4310/pamq.2006.v2.n1.a6