A note on Sobolev type inequalities on graphs with polynomial volume growth
Functional Analysis
2019-02-08 v1 Metric Geometry
Abstract
We prove a scale of generalized -Poincar\'e inequalities and Sobolev type inequalities on graphs with polynomial volume growth. They are optimal on Vicsek graphs.
Cite
@article{arxiv.1902.02440,
title = {A note on Sobolev type inequalities on graphs with polynomial volume growth},
author = {Li Chen},
journal= {arXiv preprint arXiv:1902.02440},
year = {2019}
}