A notion of fine continuity for BV functions on metric spaces
Analysis of PDEs
2015-12-09 v1
Abstract
In the setting of a metric space equipped with a doubling measure supporting a Poincar\'e inequality, we show that BV functions are, in the sense of multiple limits, continuous with respect to a 1-fine topology, at almost every point with respect to the codimension 1 Hausdorff measure.
Keywords
Cite
@article{arxiv.1512.02600,
title = {A notion of fine continuity for BV functions on metric spaces},
author = {Panu Lahti},
journal= {arXiv preprint arXiv:1512.02600},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1511.05504