Extremizers for Adjoint Fourier Restriction on Hyperboloids: The Higher-Dimensional Case

Carneiro, Emanuel; e Silva, Diogo Oliveira; Sousa, Mateus und Stovall, Betsy (2021): Extremizers for Adjoint Fourier Restriction on Hyperboloids: The Higher-Dimensional Case. In: Indiana University Mathematics Journal, Bd. 70, Nr. 2: S. 535-559

Abstract

We prove that in dimensions d >= 3, the non-endpoint, Lorentz-invariant L-2 -> L-p adjoint Fourier restriction inequality on the d-dimensional hyperboloid H-d subset of Rd+1 possesses maximizers. The analogous result had been previously established in dimensions d = 1, 2 by 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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 0022-2518
• Sprache: Englisch