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arXiv · 1512.02600

A notion of fine continuity for BV functions on metric spaces

Panu Lahti
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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.

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Panu Lahti. 2015-12-08. A notion of fine continuity for BV functions on metric spaces. https://arxiv.org/abs/1512.02600

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