4 citations · 6 across the 3 of their papers we have counts for
4 papers
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.
On the asymptotic behaviour of the fractional Sobolev seminorms in metric measure spaces: Bourgain-Brezis-Mironescu's theorem revisited
Bang-Xian Han, Andrea Pinamonti
We generalize Bourgain-Brezis-Mironescu's asymptotic formula for fractional Sobolev functions, in the setting of abstract metric measure spaces, under the assumption that at almost…
Curvature-dimension conditions for diffusions under time change
Bang-Xian Han, Karl-Theodor Sturm
We derive precise transformation formulas for synthetic lower Ricci bounds under time change. More precisely, for local Dirichlet forms we study how the curvature-dimension conditi…
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…