Nonexistence of extremals for the adjoint restriction inequality on the hyperboloid

Details Nonexistence of extremals for the adjoint restriction inequality on the hyperboloid Nonexistence of extremals for the adjoint restriction inequality on the hyperboloid

2011-08-31

arxiv.org/abs/1108.6324v1

Mathematics

Classical Analysis and ODEs

28 pages

Scientific paper

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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