15 citations · 51 across the 14 of their papers we have counts for
Showing 2021 · math.FAShow all
2 papers · 2 filters
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.FA2021★ 1 cited
On the asymptotic behaviour of the fractional Sobolev seminorms in metric measure spaces: asymptotic volume ratio, volume entropy and rigidity
Bang-Xian Han, Andrea Pinamonti
We study the asymptotic behaviour of suitably defined seminorms in general metric measure spaces. As a particular case we provide new and shorter proofs of the Maz'ya-Shaposhnikova…