Regularity of convex functions on Heisenberg groups

By Zoltán M. Balogh, Matthieu Rickly. 2003

60 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/ced66d32b3d45d91fc6b2abbfba43b54aab1d794

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Citations in the corpus

• Viscosity convex functions on carnot groups (2003, background): “= Xm i,j=1 ξiξjXiXjφ(p) ≥ 0. (1.6) We are ready to state Theorem A. Any locally bounded from below, upper semicontinuous v-convex functions on a Carnot group G are h-convex. Remark 1.3. Balogh-Rickly [BR] has recently proved theorem A for Heisenberg groups without the assumption of local lower bound”