TY - JOUR AU - Durand-Cartagena, Estibalitz AU - Jaramillo Aguado, Jesús Ángel AU - Shanmugalingam, Nageswari PY - 2009 UR - https://hdl.handle.net/20.500.14352/44466 T2 - Prepublicacions del Centre de Recerca Matemàtica AB - We study a geometric characterization of ∞−Poincaré inequality. We show that a path-connected complete doubling metric measure space supports an ∞−Poincaré inequality if and only if it is thick quasi-convex. We also prove that these two equivalent... LA - eng PB - Centre de Recerca Matemàtica TI - Connections between ∞-Poincaré inequality, quasi-convexity, and N1,∞ TY - journal article ER -