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arXiv · 1210.0583

Extremizers for Fourier restriction inequalities: convex arcs

Diogo Oliveira e Silva
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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.

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Diogo Oliveira e Silva. 2012-10-01. Extremizers for Fourier restriction inequalities: convex arcs. https://arxiv.org/abs/1210.0583

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