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PreprintCC0arXiv

A Note on Fractional Sobolev inequalities revisited

  • Giovanni Leoni
  • Asher Wheaton
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Abstract

In this paper, we extend the analysis of homogeneous fractional Sobolev inequalities in the paper by A.D. Nguyen, J. I. Dıaz, and Q.-H. Nguyen (2020). We combine their subcritical proof with the first author's adaptation to the supercritical case to provide a short interpolation-based proof for the critical case.

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Cite

BibTeXRIS
BibTeX
@misc{leoni2026note,
  title = {{A Note on Fractional Sobolev inequalities revisited}},
  author = {Giovanni Leoni and Asher Wheaton},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.03185},
  eprint = {2611.03185},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.03185},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - A Note on Fractional Sobolev inequalities revisited
AU  - Giovanni Leoni
AU  - Asher Wheaton
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2611.03185
UR  - https://arxiv.org/abs/2611.03185
AB  - In this paper, we extend the analysis of homogeneous fractional Sobolev inequalities in the paper by A.D. Nguyen, J. I. Dıaz, and Q.-H. Nguyen (2020). We combine their subcritical proof with the first author's adaptation to the supercritical case to provide a short interpolation-based proof for the critical case.
ER  -