22 citations · 80 across the 66 of their papers we have counts for
5 papers · 1 filter
Stepanov Differentiability Theorem for intrinsic graphs in Heisenberg groups
Marco Di Marco, Andrea Pinamonti, Davide Vittone +1
We prove a Stepanov differentiability type theorem for intrinsic graphs in sub-Riemannian Heisenberg groups.
Curvature estimates for minimal hypersurfaces in the Heisenberg group
Gianmarco Giovannardi, Andrea Pinamonti, Simone Verzellesi
This paper examines minimal hypersurfaces in sub-Riemannian Heisenberg groups. We extend the celebrated Simons formula and Kato inequality to the sub-Riemannian setting, and we app…
Universal Differentiability Sets in Laakso Space
Sylvester Eriksson-Bique, Andrea Pinamonti, Gareth Speight
We show that there exists a family of mutually singular doubling measures on Laakso space with respect to which real-valued Lipschitz functions are almost everywhere differentiable…
On some intrinsic differentiability properties for Absolutely continuous functions between Carnot groups and the Area formula
Andrea Pinamonti, Francesco Serra Cassano, Kilian Zambanini
We discuss Q-absolutely continuous functions between Carnot groups, following Maly's definition for maps of several variables. Such maps enjoy nice regularity properties, like cont…
Maz'ya-Shaposhnikova meet Bishop-Gromov
Bang-Xian Han, Andrea Pinamonti, Zhefeng Xu +1
We find a surprising link between Maz'ya-Shaposhnikova's well-known asymptotic formula concerning fractional Sobolev seminorms and the generalized Bishop-Gromov inequality. In the…