English

Uniform estimates for Fourier restriction to polynomial curves in $\mathbb R^d$

Classical Analysis and ODEs 2017-10-24 v1

Abstract

We prove uniform LpLqL^p \to L^q bounds for Fourier restriction to polynomial curves in Rd\mathbb R^d with affine arclength measure, in the conjectured range.

Keywords

Cite

@article{arxiv.1710.07682,
  title  = {Uniform estimates for Fourier restriction to polynomial curves in $\mathbb R^d$},
  author = {Betsy Stovall},
  journal= {arXiv preprint arXiv:1710.07682},
  year   = {2017}
}

Comments

This is a preprint version of a published article. The final version is in Amer. J. Math. 138 (2016), no. 2, 449--471