English

Restriction for homogeneous polynomial surfaces in R^3

Classical Analysis and ODEs 2011-08-23 v1

Abstract

We prove an optimal restriction theorem for an arbitrary homogeneous polynomial hypersurface (of degree at least 2) in R^3, with affine curvature introduced as mitigating factor.

Keywords

Cite

@article{arxiv.1108.4123,
  title  = {Restriction for homogeneous polynomial surfaces in R^3},
  author = {A. Carbery and C. Kenig and S. Ziesler},
  journal= {arXiv preprint arXiv:1108.4123},
  year   = {2011}
}

Comments

To apppear, Trans.Amer.Math.Soc

R2 v1 2026-06-21T18:53:11.296Z