A note on the Moser-Trudinger inequality in Sobolev-Slobodeckij spaces in dimension one
arXiv:1610.00933
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.
12 pages