We introduce the space SBVX of special functions with bounded X-variation in Carnot–Carathéodory spaces and study its main properties. Our main outcome is an approximation result, with respect to the BVX topology, for SBVX functions.
SBV functions in Carnot–Carathéodory spaces
Di Marco, Marco;Vittone, Davide
2026
Abstract
We introduce the space SBVX of special functions with bounded X-variation in Carnot–Carathéodory spaces and study its main properties. Our main outcome is an approximation result, with respect to the BVX topology, for SBVX functions.File in questo prodotto:
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