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math.FA2021★ 4 cited
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…
math.FA2019★ 2 cited
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…