22 citations · 102 across the 16 of their papers we have counts for
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math.FA2025
Fractional Sobolev spaces via interpolation, and applications to mixed local-nonlocal operators
Alberto Maione
In this note, we present a well-known connection between the Sobolev-Slobodeckij spaces, also known as Fractional Sobolev spaces, and interpolation theory. We show how Sobolev spac…
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…