Extremizers for Fourier restriction inequalities: convex arcs
Classical Analysis and ODEs
2012-10-03 v1 Analysis of PDEs
Abstract
We establish the existence of extremizers for a Fourier restriction inequality on planar convex arcs without points with colinear tangents whose curvature satisfies a natural assumption. More generally, we prove that any extremizing sequence of nonnegative functions has a subsequence which converges to an extremizer.
Keywords
Cite
@article{arxiv.1210.0583,
title = {Extremizers for Fourier restriction inequalities: convex arcs},
author = {Diogo Oliveira e Silva},
journal= {arXiv preprint arXiv:1210.0583},
year = {2012}
}
Comments
46 pages. arXiv admin note: text overlap with arXiv:1006.4319 by other authors