Quasi-continuous vector fields on RCD spaces
Functional Analysis
2019-03-14 v2
Abstract
In the existing language for tensor calculus on RCD spaces, tensor fields are only defined m-a.e.. In this paper we introduce the concept of tensor field defined `2-capacity-a.e.' and discuss in which sense Sobolev vector fields have a 2-capacity-a.e. uniquely defined quasi-continuous representative.
Keywords
Cite
@article{arxiv.1903.04302,
title = {Quasi-continuous vector fields on RCD spaces},
author = {Clément Debin and Nicola Gigli and Enrico Pasqualetto},
journal= {arXiv preprint arXiv:1903.04302},
year = {2019}
}