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

Futoshi Takahashi

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

Analysis of PDEs 2017-02-28 v1

Authors: Futoshi Takahashi

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.

Keywords

Trudinger-Moser inequalities fractional Sobolev space critical inequalities subcritical inequalities supremum attainability

Cite

@article{arxiv.1702.08206,
  title  = {Critical and subcritical fractional Trudinger-Moser type inequalities on $\mathbb{R}$},
  author = {Futoshi Takahashi},
  journal= {arXiv preprint arXiv:1702.08206},
  year   = {2017}
}

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