2 papers
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 re…
math.AP2025
Weighted Gagliardo-Nirenberg inequalities via Optimal Transport Theory and Applications
Zoltán M. Balogh, Sebastiano Don, Alexandru Kristály
We prove Gagliardo-Nirenberg inequalities with three weights -- verifying a joint concavity condition -- on open convex cones of . If the weights are equal to each oth…