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Sharp p-Poincaré inequalities under measure contraction property

10$
ARTICLE DOWNLOAD

Sharp p-Poincaré inequalities under measure contraction property

10$

Bang-Xian Han

Abstract

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

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Year 2020
Language English
Format PDF
DOI 10.1007/s00229-019-01138-5