arXiv Analytics

Sign in

arXiv:1710.07682 [math.CA]AbstractReferencesReviewsResources

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

Betsy Stovall

Published 2017-10-20Version 1

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

Comments: This is a preprint version of a published article. The final version is in Amer. J. Math. 138 (2016), no. 2, 449--471
Journal: Amer. J. Math. 138 (2016), no. 2, 449--471
Categories: math.CA
Related articles: Most relevant | Search more
arXiv:1710.07668 [math.CA] (Published 2017-10-20)
Endpoint $L^p \to L^q$ bounds for integration along certain polynomial curves
arXiv:1109.1300 [math.CA] (Published 2011-09-06, updated 2012-03-17)
Restriction of Fourier transforms to curves: An endpoint estimate with affine arclength measure
arXiv:2104.12238 [math.CA] (Published 2021-04-25)
Algebraic Stability of Oscillatory Integral Estimates: A Calculus for Uniform Estimates

Links

Toolbox