English

Harris' criterion and Hardy inequalites on graphs

Functional Analysis 2023-03-14 v1 Metric Geometry

Abstract

In this paper we give a version of Harris' criterion for determining H01,pH^{1,p}_0 within H1,pH^{1,p} on discrete spaces. Moreover, we provide a converse via Hardy inequalities involving distances to metric boundaries.

Keywords

Cite

@article{arxiv.2303.07092,
  title  = {Harris' criterion and Hardy inequalites on graphs},
  author = {Simon Murmann and Marcel Schmidt},
  journal= {arXiv preprint arXiv:2303.07092},
  year   = {2023}
}