32 citations · 130 across the 34 of their papers we have counts for
5 papers · 1 filter
Polynomial and horizontally polynomial functions on Lie groups
Gioacchino Antonelli, Enrico Le Donne
We generalize both the notion of polynomial functions on Lie groups and the notion of horizontally affine maps on Carnot groups. We fix a subset of the algebra of…
On rectifiable measures in Carnot groups: existence of density
Gioacchino Antonelli, Andrea Merlo
In this paper we start a detailed study of a new notion of rectifiability in Carnot groups: we say that a Radon measure is -rectifiable, for , if it h…
Distributional solutions of Burgers' type equations for intrinsic graphs in Carnot groups of step 2
Gioacchino Antonelli, Daniela Di Donato, Sebastiano Don
We prove that in arbitrary Carnot groups of step 2, with a splitting with one-dimensional, the graph of a continuous fun…
Intrinsically Lipschitz functions with normal target in Carnot groups
Gioacchino Antonelli, Andrea Merlo
We provide a Rademacher theorem for intrinsically Lipschitz functions , where is a Borel set, and are complementary…
Characterizations of uniformly differentiable co-horizontal intrinsic graphs in Carnot groups
Gioacchino Antonelli, Daniela Di Donato, Sebastiano Don +1
In arbitrary Carnot groups we study intrinsic graphs of maps with horizontal target. These graphs are regular exactly when the map is uniformly intrinsically differentiable…