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arXiv · 1108.6324

Nonexistence of extremals for the adjoint restriction inequality on the hyperboloid

René Quilodrán
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Abstract

We study the problem of existence of extremizers for the $L^2$ to $L^p$ adjoint Fourier restriction inequalities on the hyperboloid in dimensions 3 and 4, in which cases $p$ is an even integer. We will use the method developed by Foschi to show that extremizers do not exist.

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René Quilodrán. 2017-12-28. Nonexistence of extremals for the adjoint restriction inequality on the hyperboloid. https://doi.org/10.1007/s11854-015-0002-8

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