Geometric characterizations of \(p\)-Poincaré inequalities in the metric setting

DOI10.5565/PUBLMAT_60116_04zbMath1334.31007MaRDI QIDQ5963189

Jesús Angel Jaramillo, Nageswari Shanmugalingam, Estibalitz Durand-Cartagena

Publication date: 4 March 2016

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

zbMATH Keywords

quasiconvexityPoincaré inequalitymetric measure space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potential theory on fractals and metric spaces (31E05) Quasiconformal mappings in metric spaces (30L10)

Related Items (6)

Weighted 1-dimensional Orlicz-Poincaré inequalities ⋮ Existence and uniqueness of \(\infty \)-harmonic functions under assumption of \(\infty \)-Poincaré inequality ⋮ 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 ⋮ Cluster sets theorems on metric measure spaces

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