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Original Article

A Restriction Estimate for Surfaces with Negative Gaussian Curvatures

Department of Mathematics, University of Wisconsin-Madison and the Institute for Advanced Study, Madison, USA
Department of Mathematics, University of Wisconsin-Madison, Madison, USA
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Abstract

We prove Lp bounds for the Fourier extension operators associated to smooth surfaces in R3 with negative Gaussian curvatures for every p>3.25.

Keywords

Fourier restriction estimatesNegative curvaturePolynomial methods
Peking Mathematical Journal
Volume 7 Issue 1,
March 2024
Pages 155-202
DOI: 10.1007/s42543-023-00061-9
Cite this article:
Guo, S., Oh, C. A Restriction Estimate for Surfaces with Negative Gaussian Curvatures. Peking Math J 7, 155-202 (2024). https://doi.org/10.1007/s42543-023-00061-9

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Received: 28 August 2021
Revised: 25 December 2022
Accepted: 02 January 2023
Published: 07 March 2023
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