Critical and subcritical fractional Trudinger-Moser type inequalities on $\mathbb{R}$

Abstract

In this paper, we are concerned with the critical and subcritical Trudinger-Moser type inequalities for functions in a fractional Sobolev space $H^{1/2,2}$ on the whole real line. We prove the relation between two inequalities and discuss the attainability of the suprema.

References in corpus (1)

• Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities