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math.FA2020★ 4 cited
On the limit as of fractional Orlicz-Sobolev spaces
Angela Alberico, Andrea Cianchi, Luboš Pick +1
An extended version of the Maz'ya-Shaposhnikova theorem on the limit as of the Gagliardo-Slobodeckij fractional seminorm is established in the Orlicz space setting. Our…
math.FA2020
Fractional Orlicz-Sobolev embeddings
Angela Alberico, Andrea Cianchi, Luboš Pick +1
The optimal Orlicz target space is exhibited for embeddings of fractional-order Orlicz-Sobolev spaces in . An improved embedding with an Orlicz-Lorentz target space, w…