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math.AP2015
A notion of fine continuity for BV functions on metric spaces
Panu Lahti
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…
math.AP2015
Fine properties and a notion of quasicontinuity for BV functions on metric spaces
Panu Lahti, Nageswari Shanmugalingam
On a metric space equipped with a doubling measure supporting a Poincaré inequality, we show that given a BV function, discarding a set of small -capacity makes the function con…