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20242026
most citedSubmanifolds with boundary and Stokes' Theorem in Heisenberg groups

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math.FA2026

A BMO-type representation formula for the total variation of SBV functions in Heisenberg groups

Marco Di Marco, Sebastiano Don, Davide Vittone

We prove a formula for the total variation of SBV functions in sub-Riemannian Heisenberg groups arising as the limit of certain BMO-type functionals.

math.FA2025

Intrinsic perimeter, compactness and Poincaré inequality for SBV functions in Carnot-Carathéodory spaces

Marco Di Marco

By introducing an intrinsic perimeter measure for intrinsic countably rectifiable sets, we prove a compactness result and a Poincaré inequality for special functions with bounded v…

math.FA2025

SBV functions in Carnot-Carathéodory spaces

Marco Di Marco, Sebastiano Don, Davide Vittone

We introduce the space SBV of special functions with bounded -variation in Carnot-Carathéodory spaces and study its main properties. Our main outcome is an approximation res…