The sharp $p$-Poincar\'e inequality under the measure contraction property
Metric Geometry
2021-08-17 v2 Functional Analysis
Spectral Theory
Abstract
We obtain sharp estimate on -spectral gaps, or equivalently optimal constant in -Poincar\'e inequalities, for metric measure spaces satisfying measure contraction property. We also prove the rigidity for the sharp -spectral gap.
Keywords
Cite
@article{arxiv.1905.11980,
title = {The sharp $p$-Poincar\'e inequality under the measure contraction property},
author = {Bang-Xian Han},
journal= {arXiv preprint arXiv:1905.11980},
year = {2021}
}
Comments
This is a subsequent work of arxiv:1905.05465