On master test plans for the space of BV functions
Metric Geometry
2021-09-13 v1 Differential Geometry
Functional Analysis
Abstract
We prove that on an arbitrary metric measure space a countable collection of test plans is sufficient to recover all functions and their total variation measures. In the setting of non-branching spaces (with finite reference measure), we can additionally require these test plans to be concentrated on geodesics.
Cite
@article{arxiv.2109.04980,
title = {On master test plans for the space of BV functions},
author = {Francesco Nobili and Enrico Pasqualetto and Timo Schultz},
journal= {arXiv preprint arXiv:2109.04980},
year = {2021}
}
Comments
35 pages