Global Maximizers for the Sphere Adjoint Fourier Restriction Inequality

2013/10/09 by Foschi, Damiano · 3 citations
#42B37 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1310.2510

Abstract

We show that constant functions are global maximizers for the adjoint Fourier restriction inequality for the sphere.

Cited by

• On a Sharp Fourier Extension Inequality on the Circle with Lacunary Spectrum
• Conditional existence of maximizers for the Tomas-Stein inequality for the sphere
• Maximizers of the L²→ L⁴ Fourier extension inequality for cones in finite fields

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