SBV functions in Carnot-Carathéodory spaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915499980357632 |
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| author | Di Marco, Marco Don, Sebastiano Vittone, Davide |
| author_facet | Di Marco, Marco Don, Sebastiano Vittone, Davide |
| contents | We introduce the space SBV$_X$ 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 BV$_X$ topology, for SBV$_X$ functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_04285 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | SBV functions in Carnot-Carathéodory spaces Di Marco, Marco Don, Sebastiano Vittone, Davide Functional Analysis Classical Analysis and ODEs Metric Geometry 26B30, 53C17, 49Q15 We introduce the space SBV$_X$ 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 BV$_X$ topology, for SBV$_X$ functions. |
| title | SBV functions in Carnot-Carathéodory spaces |
| topic | Functional Analysis Classical Analysis and ODEs Metric Geometry 26B30, 53C17, 49Q15 |
| url | https://arxiv.org/abs/2503.04285 |