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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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Abstract

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.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Analysis (Martinazzi)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Iula, Stefano
Item Type:Preprint
Publisher:Universität Basel
Language:English
Last Modified:06 May 2019 18:01
Deposited On:28 Mar 2019 09:51

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