Vol. 12, No. 5, 2019

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Scale-invariant Fourier restriction to a hyperbolic surface

Betsy Stovall

Vol. 12 (2019), No. 5, 1215–1224
Abstract

This result sharpens the bilinear-to-linear deduction of Lee and Vargas for extension estimates on the hyperbolic paraboloid in 3 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.

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Keywords
Fourier restriction, bilinear restriction, hyperbolic restriction
Mathematical Subject Classification 2010
Primary: 42B20
Milestones
Received: 8 September 2017
Revised: 6 August 2018
Accepted: 17 September 2018
Published: 15 December 2018
Authors
Betsy Stovall
Department of Mathematics
University of Wisconsin
Madison, WI
United States