A short proof of the existence of master test plans
Functional Analysis
2022-03-08 v1 Metric Geometry
Abstract
The aim of this brief note is to provide a quick and elementary proof of the following known fact: on a metric measure space whose Sobolev space is separable, there exists a test plan that is sufficient to identify the minimal weak upper gradient of every Sobolev function.
Cite
@article{arxiv.2203.02736,
title = {A short proof of the existence of master test plans},
author = {Enrico Pasqualetto},
journal= {arXiv preprint arXiv:2203.02736},
year = {2022}
}
Comments
5 pages