22 citations · 80 across the 66 of their papers we have counts for
8 papers · 1 filter
Sobolev and BV functions on spaces via the short-time behaviour of the heat kernel
Camillo Brena, Enrico Pasqualetto, Andrea Pinamonti
In the setting of finite-dimensional spaces, we characterize the -Sobolev spaces for and the space of functions of bounded variation in term…
Kakeya maximal inequality in the Heisenberg group
Katrin Fässler, Andrea Pinamonti, Pietro Wald
We define the Heisenberg Kakeya maximal functions , , by averaging over -neighborhoods of horizontal unit line segments in the Heisenberg group equip…
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…
Maximal Directional Derivatives in Laakso Space
Marco Capolli, Andrea Pinamonti, Gareth Speight
We investigate the connection between maximal directional derivatives and differentiability for Lipschitz functions defined on Laakso space. We show that maximality of a directiona…
A characterization of BV and Sobolev functions via nonlocal functionals in metric spaces
Panu Lahti, Andrea Pinamonti, Xiaodan Zhou
We study a characterization of BV and Sobolev functions via nonlocal functionals in metric spaces equipped with a doubling measure and supporting a Poincaré inequality. Compared wi…
The prescribed mean curvature equation for -graphs in the sub-Finsler Heisenberg group
Gianmarco Giovannardi, Andrea Pinamonti, Julián Pozuelo +1
We study the sub-Finsler prescribed mean curvature equation, associated to a strictly convex body , for -graphs on a bounded domain in the Hei…