A pointwise characterization of functions of bounded variation on metric spaces
Functional Analysis
2013-06-26 v1
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.
Keywords
Cite
@article{arxiv.1301.6897,
title = {A pointwise characterization of functions of bounded variation on metric spaces},
author = {Panu Lahti and Heli Tuominen},
journal= {arXiv preprint arXiv:1301.6897},
year = {2013}
}