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- W3210149174 abstract "Let $mathbb{H}$ be a $(d-1)$-dimensional hyperbolic paraboloid in $mathbb{R}^d$ and let $Ef$ be the Fourier extension operator associated to $mathbb{H}$, with $f$ supported in $B^{d-1}(0,2)$. We prove that $lVert Ef rVert_{L^p (B(0,R))} leq C_{varepsilon}R^{varepsilon}lVert f rVert_{L^p}$ for all $p geq 2(d+2)/d$ whenever $d/2geq m + 1$, where $m$ is the minimum between the number of positive and negative principal curvatures of $mathbb{H}$. Bilinear restriction estimates for $mathbb{H}$ proved by S. Lee and Vargas play an important role in our argument." @default.
- W3210149174 created "2021-11-08" @default.
- W3210149174 creator A5038347773 @default.
- W3210149174 date "2021-11-02" @default.
- W3210149174 modified "2023-09-27" @default.
- W3210149174 title "Restriction estimates for hyperbolic paraboloids in higher dimensions via bilinear estimates" @default.
- W3210149174 doi "https://doi.org/10.4171/rmi/1310" @default.
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