most citedOn the asymptotic behaviour of the fractional Sobolev seminorms in metric measure spaces: Bourgain-Brezis-Mironescu's theorem revisited

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math.MG2021

A sharp isoperimetric inequality in metric measure spaces with non-negative Ricci curvature

Bang-Xian Han

We prove a sharp dimension-free isoperimetric inequality, involving the volume entropy, in non-compact metric measure spaces with non-negative synthetic Ricci curvature.

math.MG2019

Sharp Poincaré inequalities under Measure Contraction Property

Bang-Xian Han, Emanuel Milman

We prove a sharp Poincaré inequality for subsets of (essentially non-branching) metric measure spaces satisfying the Measure Contraction Property , whose dia…