A notion of fine continuity for BV functions on metric spaces

2015/12/08 by Lahti, Panu · 1 citation
#26B30 #30L99 #43A85 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1512.02600

Abstract

In the setting of a metric space equipped with a doubling measure supporting a Poincaré 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.

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