Scale invariant Fourier restriction to a hyperbolic surface
Classical Analysis and ODEs
2018-12-19 v1
Abstract
This result sharpens the bilinear to linear deduction of Lee and Vargas for extension estimates on the hyperbolic paraboloid in to the sharp line, leading to the first scale-invariant restriction estimates, beyond the Stein--Tomas range, for a hypersurface on which the principal curvatures have different signs.
Cite
@article{arxiv.1710.07686,
title = {Scale invariant Fourier restriction to a hyperbolic surface},
author = {Betsy Stovall},
journal= {arXiv preprint arXiv:1710.07686},
year = {2018}
}
Comments
8 pages