# A note on the Moser-Trudinger inequality in Sobolev-Slobodeckij spaces in dimension one

Iula, Stefano. (2016) A note on the Moser-Trudinger inequality in Sobolev-Slobodeckij spaces in dimension one. Preprints Fachbereich Mathematik, 2016 (33).

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Official URL: https://edoc.unibas.ch/69951/

We discuss some recent results by Parini and Ruf on a Moser-Trudinger type inequality in the setting of Sobolev-Slobodeckij spaces in dimension one. We push further their analysis considering the inequality on the whole $\mathbb{R}$ and we give an answer to one of their open questions.