22 citations · 97 across the 51 of their papers we have counts for
Showing math.FAShow all
3 papers · 1 filter
math.FA2020★ 1 cited
On the Maz'ya-Shaposhnikova formula in Orlicz-Sobolev spaces on Carnot groups
Marco Capolli, Alberto Maione, Ariel Martin Salort +1
In this note we study the limit as of fractional Orlicz-Sobolev seminorms in Carnot groups. This closes the study started in [10]
math.FA2019★ 11 cited
Asymptotic behaviours in Fractional Orlicz-Sobolev spaces on Carnot groups
Marco Capolli, Alberto Maione, Ariel Martin Salort +1
In this article we define a class of fractional Orlicz-Sobolev spaces on Carnot groups and, in the spirit of the celebrated results of Bourgain-Brezis-Mironescu and of Maz'ya-Shapo…
math.FA2018
A note on homogeneous Sobolev spaces of fractional order
Lorenzo Brasco, Ariel Salort
We consider a homogeneous fractional Sobolev space obtained by completion of the space of smooth test functions, with respect to a Sobolev--Slobodecki\uı norm. We compare it to the…