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arXiv · 1301.6897

A pointwise characterization of functions of bounded variation on metric spaces

Panu Lahti·Heli Tuominen
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Abstract

We give a new characterization of the space of functions of bounded variation in terms of a pointwise inequality connected to the maximal function of a measure. The characterization is new even in Euclidean spaces and it holds also in general metric spaces.

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Panu Lahti, Heli Tuominen. 2013-01-29. A pointwise characterization of functions of bounded variation on metric spaces. https://doi.org/10.1007/s11587-013-0161-9

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