Capacitary density and removable sets for Newton-Sobolev functions in metric spaces
Metric Geometry
2022-11-03 v1
Abstract
In a complete metric space equipped with a doubling measure and supporting a -Poincar\'e inequality, we show that every set satisfying a suitable capacitary density condition is removable for Newton-Sobolev functions.
Keywords
Cite
@article{arxiv.2211.01235,
title = {Capacitary density and removable sets for Newton-Sobolev functions in metric spaces},
author = {Panu Lahti},
journal= {arXiv preprint arXiv:2211.01235},
year = {2022}
}