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

Futoshi Takahashi

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arXiv · 1702.08206

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

Futoshi Takahashi

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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.

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Futoshi Takahashi. 2017-02-27. Critical and subcritical fractional Trudinger-Moser type inequalities on $\mathbb{R}$. https://arxiv.org/abs/1702.08206

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