Sharp L^4 restriction estimates for surfaces of codimension two in R^5

Jennifer Duncan; Ana Vargas

Sharp L^4 restriction estimates for surfaces of codimension two in R^5

Classical Analysis and ODEs 2026-07-17 v1

Authors: Jennifer Duncan , Ana Vargas

Abstract

We prove $L^p\rightarrow L^4$ Fourier adjoint restriction estimates for three-dimensional quadratic surfaces in $\mathbb{R}^5$ . These estimates are sharp up to the endpoint, and improve results by Oberlin and Guo--Oh.

Keywords

Fourier restriction estimates quadratic surfaces codimension two sharp estimates adjoint restriction

Cite

@article{arxiv.2607.16113,
  title  = {Sharp L^4 restriction estimates for surfaces of codimension two in R^5},
  author = {Jennifer Duncan and Ana Vargas},
  journal= {arXiv preprint arXiv:2607.16113},
  year   = {2026}
}