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–Shaposhnikova, we study the asymptotic behaviour of the Orlicz functionals when the fractional parameter goes to 1 and 0.

Asymptotic Behaviours in Fractional Orlicz–Sobolev Spaces on Carnot Groups

Vecchi E.
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Abstract

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–Shaposhnikova, we study the asymptotic behaviour of the Orlicz functionals when the fractional parameter goes to 1 and 0.
Asymptotic behaviours; Carnot groups; Fractional Sobolev norms; Orlicz spaces
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/1133594
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