11 citations · 23 across the 12 of their papers we have counts for
4 papers · 1 filter
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.
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…
Fine properties of functions with bounded variation in Carnot-Carathéodory spaces
Sebastiano Don, Davide Vittone
We study properties of functions with bounded variation in Carnot-Ca\-ra\-théo\-do\-ry spaces. We prove their almost everywhere approximate differentiability and we examine their a…
A compactness result for BV functions in metric spaces
Sebastiano Don, Davide Vittone
We prove a compactness result for bounded sequences of functions with bounded variation in metric spaces where the space is fixed but the metric may vary wi…