Abstract
We establish the existence of extremizers for a Fourier restriction inequality on planar convex arcs without points with collinear 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.
Original language | English |
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Pages (from-to) | 337-385 |
Number of pages | 49 |
Journal | Journal d'Analyse Mathématique |
Volume | 124 |
DOIs | |
Publication status | Published - Oct 2014 |
Keywords
- Nonnegative Function
- Decomposition Algorithm
- Projection Measure
- Optimal Constant
- Disjoint Support