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paper

A pointwise characterization of functions of bounded variation on metric spaces

arXiv:1301.6897 · doi:10.1007/s11587-013-0161-9

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.