English

A restriction estimate for surfaces with negative Gaussian curvatures

Classical Analysis and ODEs 2023-03-09 v3

Abstract

We prove LpL^p bounds for the Fourier extension operators associated to surfaces in R3\mathbb{R}^3 with negative Gaussian curvatures for every p>3.25p>3.25.

Keywords

Cite

@article{arxiv.2005.12431,
  title  = {A restriction estimate for surfaces with negative Gaussian curvatures},
  author = {Shaoming Guo and Changkeun Oh},
  journal= {arXiv preprint arXiv:2005.12431},
  year   = {2023}
}

Comments

V3: small corrections following referee report

R2 v1 2026-06-23T15:48:23.165Z