SBV functions in Carnot-Carath\'eodory spaces
Functional Analysis
2025-09-19 v2 Classical Analysis and ODEs
Metric Geometry
Abstract
We introduce the space SBV of special functions with bounded -variation in Carnot-Carath\'eodory spaces and study its main properties. Our main outcome is an approximation result, with respect to the BV topology, for SBV functions.
Cite
@article{arxiv.2503.04285,
title = {SBV functions in Carnot-Carath\'eodory spaces},
author = {Marco Di Marco and Sebastiano Don and Davide Vittone},
journal= {arXiv preprint arXiv:2503.04285},
year = {2025}
}
Comments
26 pages