A note on rearrangement Poincar\'e inequalities and the doubling condition
Functional Analysis
2023-05-23 v1
Abstract
We introduce Poincar\'e type inequalities based on rearrangement invariant spaces in the setting of metric measure spaces and analyze when they imply the doubling condition on the underline measure.
Keywords
Cite
@article{arxiv.2305.12873,
title = {A note on rearrangement Poincar\'e inequalities and the doubling condition},
author = {Joaquim Martín and Walter A. Ortiz},
journal= {arXiv preprint arXiv:2305.12873},
year = {2023}
}