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/

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 Iula, Stefano Preprint Universität Basel English 10.5451/unibas-ep69951 06 May 2019 18:01 28 Mar 2019 09:51

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