Published Paper

Inserted: 7 mar 2025
Last Updated: 18 sep 2025

Journal: Nonlinear Anal.
Volume: 262
Pages: 113944
Year: 2026
Doi: https://doi.org/10.1016/j.na.2025.113944

Abstract:

We introduce the space SBV$_X$ of special functions with bounded $X$-variation in Carnot-Carath\'eodory spaces and study its main properties. Our main outcome is an approximation result, with respect to the BV$_X$ topology, for SBV$_X$ functions.