JournalsrlmVol. 28, No. 4pp. 871–884

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

  • Stefano Iula

    Universität Basel, Switzerland
A note on the Moser–Trudinger inequality in Sobolev–Slobodeckij spaces in dimension one cover
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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 and we give an answer to one of their open questions.

Cite this article

Stefano Iula, A note on the Moser–Trudinger inequality in Sobolev–Slobodeckij spaces in dimension one. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 28 (2017), no. 4, pp. 871–884

DOI 10.4171/RLM/789