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math.FA2026
Characterizations of Sobolev and BV functions on Carnot groups
Francesco Serra Cassano, Kilian Zambanini
We establish two characterizations of real-valued Sobolev and BV functions on Carnot groups. The first is obtained via a nonlocal approximation of the distributional horizontal gra…
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…