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- W3159478271 abstract "We prove that in dimensions $d geq 3$, the non-endpoint, Lorentz-invariant $L^2 to L^p$ adjoint Fourier restriction inequality on the $d$-dimensional hyperboloid $mathbb{H}^d subseteq mathbb{R}^{d+1}$ possesses maximizers. The analogous result had been previously established in dimensions $d=1,2$ using the convolution structure of the inequality at the lower endpoint (an even integer); we obtain the generalization by using tools from bilinear restriction theory." @default.
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- W3159478271 date "2021-01-01" @default.
- W3159478271 modified "2023-09-23" @default.
- W3159478271 title "Extremizers for adjoint Fourier restriction on hyperboloids: the higher dimensional case" @default.
- W3159478271 doi "https://doi.org/10.1512/iumj.2021.70.8323" @default.
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