22 citations · 80 across the 66 of their papers we have counts for
11 papers · 1 filter
On low-dimensional uniform rectifiability in Heisenberg groups
Katrin Fässler, Andrea Pinamonti, Kilian Zambanini
Refining an earlier result due to Hahlomaa, we provide a new Carleson-type condition for -regular sets in the Heisenberg group to have big pieces of Lipschitz ima…
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.
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…
Higher order Whitney extension and Lusin approximation for Horizontal curves in the Heisenberg group
Andrea Pinamonti, Gareth Speight, Scott Zimmerman
In the setting of horizontal curves in the Heisenberg group, we prove a finiteness principle, a Lusin approximation result, a Whitney extension res…
On the converse of Pansu's Theorem
Guido De Philippis, Andrea Marchese, Andrea Merlo +2
We provide a suitable generalisation of Pansu's differentiability theorem to general Radon measures on Carnot groups and we show that if Lipschitz maps between Carnot groups are Pa…
The Cheeger problem in abstract measure spaces
Valentina Franceschi, Andrea Pinamonti, Giorgio Saracco +1
We consider non-negative -finite measure spaces coupled with a proper functional that plays the role of a perimeter. We introduce the Cheeger problem in this framework and e…