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1 June 2022 A restriction estimate in R3 using brooms
Hong Wang
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Duke Math. J. 171(8): 1749-1822 (1 June 2022). DOI: 10.1215/00127094-2021-0064

Abstract

If f is a function supported on the truncated paraboloid in R3 and E is the corresponding extension operator, then we prove that for all p>3+313, EfLp(R3)CfL. The proof combines Wolff’s two ends argument with polynomial partitioning techniques. We also observe some geometric structures in the wave packets.

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Hong Wang. "A restriction estimate in R3 using brooms." Duke Math. J. 171 (8) 1749 - 1822, 1 June 2022. https://doi.org/10.1215/00127094-2021-0064

Information

Received: 4 March 2018; Revised: 21 June 2021; Published: 1 June 2022
First available in Project Euclid: 13 April 2022

Digital Object Identifier: 10.1215/00127094-2021-0064

Subjects:
Primary: 42B10
Secondary: 42B20

Keywords: Fourier restriction estimate

Rights: Copyright © 2022 Duke University Press

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Vol.171 • No. 8 • 1 June 2022
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