6 citations · 7 across the 6 of their papers we have counts for
8 papers · 1 filter
On rectifiable measures in Carnot groups: Marstrand-Mattila rectifiability criterion
Gioacchino Antonelli, Andrea Merlo
In this paper we continue the study of the notion of -rectifiability in Carnot groups. We say that a Radon measure is -rectifiable, for ,…
Unextendable intrinsic Lipschitz curves
Gioacchino Antonelli, Andrea Merlo
In the setting of Carnot groups, we exhibit examples of intrinisc Lipschitz curves of positive -measure that intersect every connected intrinsic Lipschitz curve in a…
On rectifiable measures in Carnot groups: representation
Gioacchino Antonelli, Andrea Merlo
This paper deals with the theory of rectifiability in arbitrary Carnot groups, and in particular with the study of the notion of -rectifiable measure. First, we show t…
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…