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arXiv · 2503.04285

SBV functions in Carnot-Carath\'eodory spaces

Marco Di Marco·Sebastiano Don·Davide Vittone
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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.

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Marco Di Marco, Sebastiano Don, Davide Vittone. 2025-03-06. SBV functions in Carnot-Carath\'eodory spaces. https://doi.org/10.1016/j.na.2025.113944

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