Extremizers for Fourier restriction inequalities: Convex arcs

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7 Citations (Scopus)

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 languageEnglish
Pages (from-to)337-385
Number of pages49
JournalJournal d'Analyse Mathématique
Volume124
DOIs
Publication statusPublished - Oct 2014

Keywords

  • Nonnegative Function
  • Decomposition Algorithm
  • Projection Measure
  • Optimal Constant
  • Disjoint Support

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