cvgmt: The sharp $p$-Poincaré inequality under the measure contraction property

Calculus of Variations and Geometric Measure Theory

B. Han

The sharp $p$-Poincaré inequality under the measure contraction property

created by han1 on 15 Jul 2019

[BibTeX]

Accepted Paper

Inserted: 15 jul 2019
Last Updated: 15 jul 2019

Journal: Manuscripta Mathematica
Year: 2019

Abstract:

We obtain sharp estimate on $p$-spectral gaps, or equivalently optimal constant in $p$-Poincare inequalities, for metric measure spaces satisfying measure contraction property. We also prove the rigidity for the sharp $p$-spectral gap.