Nonexistence of extremals for the adjoint restriction inequality on the hyperboloid

Autor: Quilodrán, René
Rok vydání: 2011
Předmět:
Zdroj: J. Analyse Math., Volume 125 (2015), no. 1, 37-70
Druh dokumentu: Working Paper
DOI: 10.1007/s11854-015-0002-8
Popis: 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.
Comment: 32 pages. Correction for Theorem 1.2 and Proposition 7.5 and addition of Remark 1.3
Databáze: arXiv