A note on the Moser-Trudinger inequality in Sobolev-Slobodeckij spaces   in dimension one
  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. 
Stefano Iula
math.AP