RT Journal Article
T1 Connections between ∞-Poincaré inequality, quasi-convexity, and N1,∞
A1 Durand-Cartagena, Estibalitz
A1 Jaramillo Aguado, Jesús Ángel
A1 Shanmugalingam, Nageswari
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 properties are also equivalent to the purely analytic property that N1,∞(X) = LIP∞(X), where LIP∞(X) is the collection of bounded Lipschitz functions on X and N1,∞(X) is the Newton-Sobolev space studied in [DJ].
PB Centre de Recerca Matemàtica
YR 2009
FD 2009-10
LK https://hdl.handle.net/20.500.14352/44466
UL https://hdl.handle.net/20.500.14352/44466
LA eng
DS Docta Complutense
RD 7 abr 2025