The \(\infty \)-Poincaré inequality on metric measure spaces

DOI10.1307/MMJ/1331222847zbMath1275.46018OpenAlexW1975514418WikidataQ109994460 ScholiaQ109994460MaRDI QIDQ1940071

Nageswari Shanmugalingam, Estibalitz Durand-Cartagena, Jesús Angel Jaramillo

Publication date: 5 March 2013

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.mmj/1331222847

zbMATH Keywords

quasiconvexityPoincaré inequalitymetric measure spacesthick quasiconvex

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on metric spaces (30L99)

Related Items (9)

Modulus and Poincaré inequalities on non-self-similar Sierpiński carpets ⋮ Gaussian heat kernel bounds through elliptic Moser iteration ⋮ Lusin-type theorems for Cheeger derivatives on metric measure spaces ⋮ Existence and uniqueness of \(\infty \)-harmonic functions under assumption of \(\infty \)-Poincaré inequality ⋮ \(p\)-Poincaré inequality versus \(\infty \)-Poincaré inequality: some counterexamples ⋮ Absolutely continuous functions on compact and connected 1-dimensional metric spaces ⋮ Characterizing spaces satisfying Poincaré inequalities and applications to differentiability ⋮ Maximal metric surfaces and the Sobolev-to-Lipschitz property ⋮ Gradient estimates for heat kernels and harmonic functions

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