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.
2026
   Variational Aspects of Currents & other results in Geometric Measure Theory
   VAC&GMT
   INdAM

   Geometric Measure Theory: Structure of Singular Measures, Regularity Theory and Applications in the Calculus of Variations
   MIUR
   CUP:E53D23005860006
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3561638
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