SBV functions in Carnot-Carathéodory spaces
arXiv:2503.04285 · doi:10.1016/j.na.2025.113944
Abstract
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 result, with respect to the BV topology, for SBV functions.
26 pages