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math.MG2024
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.
math.FA2024
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…
math.MG2024
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…