Asymptotic behaviours in Fractional Orlicz-Sobolev spaces on Carnot groups
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 behavior of the Orlicz functionals when the fractional parameter goes to 1 and 0.
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