English

A note on metric-measure spaces supporting Poincar\'e inequalities

Functional Analysis 2019-06-20 v3

Abstract

Using a method of Korobenko, Maldonado and Rios we show a new characterization of doubling metric-measure spaces supporting Poincar\'e inequalities without assuming a priori that the measure is doubling.

Keywords

Cite

@article{arxiv.1902.10876,
  title  = {A note on metric-measure spaces supporting Poincar\'e inequalities},
  author = {Ryan Alvarado and Piotr Hajłasz},
  journal= {arXiv preprint arXiv:1902.10876},
  year   = {2019}
}
R2 v1 2026-06-23T07:53:45.078Z