Extremizers for Fourier restriction inequalities: convex arcs
arXiv:1210.0583
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.
arXiv comment46 pages. arXiv admin note: text overlap with arXiv:1006.4319 by other authors
References in corpus (5)
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- On the extremizers of an adjoint Fourier restriction inequality