A. Alberico

activity

20172020

s \to 0^{+}

of fractional Orlicz-Sobolev spaces

4 citations · 4 across the 2 of their papers we have counts for

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math.FA2020★ 4 cited

On the limit as $s \to 0^{+}$ 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 $s \to 0^{+}$ 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 $R^{n}$ . An improved embedding with an Orlicz-Lorentz target space, w…

math.FA2017

Sharp Sobolev type embeddings on the entire Euclidean space

Angela Alberico, Andrea Cianchi, Lubos Pick +1

A comprehensive approach to Sobolev-type embeddings, involving arbitrary rearrangement- invariant norms on the entire Euclidean space R^n, is offered. In particular, the optimal ta…

On the limit as s→0+ of fractional Orlicz-Sobolev spaces

Fractional Orlicz-Sobolev embeddings

Sharp Sobolev type embeddings on the entire Euclidean space

On the limit as $s \to 0^{+}$ of fractional Orlicz-Sobolev spaces