A restriction estimate for surfaces with negative Gaussian curvatures. (English) Zbl 1533.42013
Summary: We prove \(L^p\) bounds for the Fourier extension operators associated to smooth surfaces in \(\mathbb{R}^3\) with negative Gaussian curvatures for every \(p>3.25\).
MSC:
| 42B10 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
| 42B05 | Fourier series and coefficients in several variables |
| 42B15 | Multipliers for harmonic analysis in several variables |
| 53A10 | Minimal surfaces in differential geometry, surfaces with prescribed mean curvature |
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