22 citations · 80 across the 66 of their papers we have counts for
15 papers · 1 filter
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…
BV functions and nonlocal functionals in metric measure spaces
Panu Lahti, Andrea Pinamonti, Xiaodan Zhou
We study the asymptotic behavior of three classes of nonlocal functionals in complete metric spaces equipped with a doubling measure and supporting a Poincaré inequality. We show t…
Nguyen's approach to Sobolev spaces in metric measure spaces with unique tangents
Camillo Brena, Andrea Pinamonti
We extend Nguyen's characterization of Sobolev spaces to the setting of PI-metric measure spaces such that at a.e. point the tangent space (in the Gromov-Hausdorff sense)…
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…
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…