PreprintCC BY 4.0arXiv
A BMO-type representation formula for the total variation of SBV functions in Heisenberg groups
Abstract
We prove a formula for the total variation of SBV functions in sub-Riemannian Heisenberg groups arising as the limit of certain BMO-type functionals.
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BibTeX
@misc{marco2026bmotype,
title = {{A BMO-type representation formula for the total variation of SBV functions in Heisenberg groups}},
author = {Marco Di Marco and Sebastiano Don and Davide Vittone},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.35577},
eprint = {2609.35577},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.35577},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A BMO-type representation formula for the total variation of SBV functions in Heisenberg groups
AU - Marco Di Marco
AU - Sebastiano Don
AU - Davide Vittone
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2609.35577
UR - https://arxiv.org/abs/2609.35577
AB - We prove a formula for the total variation of SBV functions in sub-Riemannian Heisenberg groups arising as the limit of certain BMO-type functionals.
ER -