Poincar\'e inequalities for mutually singular measures
Metric Geometry
2014-03-21 v1 Differential Geometry
Abstract
Using an inverse system of metric graphs as in: J. Cheeger and B. Kleiner, "Inverse limit spaces satisfying a Poincar\'e inequality", we provide a simple example of a metric space that admits Poincar\'e inequalities for a continuum of mutually singular measures.
Keywords
Cite
@article{arxiv.1403.5121,
title = {Poincar\'e inequalities for mutually singular measures},
author = {Andrea Schioppa},
journal= {arXiv preprint arXiv:1403.5121},
year = {2014}
}