A Restriction Estimate for Surfaces with Negative Gaussian Curvatures

Shaoming Guo , Changkeun Oh

Peking Mathematical Journal ›› 2023, Vol. 7 ›› Issue (1) : 155 -202.

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Peking Mathematical Journal ›› 2023, Vol. 7 ›› Issue (1) : 155 -202. DOI: 10.1007/s42543-023-00061-9
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A Restriction Estimate for Surfaces with Negative Gaussian Curvatures

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Abstract

We prove $L^p$ bounds for the Fourier extension operators associated to smooth surfaces in ${\mathbb {R}}^3$ with negative Gaussian curvatures for every $p>3.25$.

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Shaoming Guo, Changkeun Oh. A Restriction Estimate for Surfaces with Negative Gaussian Curvatures. Peking Mathematical Journal, 2023, 7(1): 155-202 DOI:10.1007/s42543-023-00061-9

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National Science Foundation(DMS-1800274)

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