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arXiv · 2607.13181

Existence of maximizers for $L^p$ Fourier extension from the hyperbolic paraboloid

Benjamin Bruce·Diogo Oliveira e Silva·Betsy Stovall
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Abstract

We prove that maximizers exist and that maximizing sequences possess subsequences that converge modulo symmetries to maximizers for the $L^p \to L^q$ Fourier extension inequalities associated to the hyperbolic paraboloid in three ambient dimensions.

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Benjamin Bruce, Diogo Oliveira e Silva, Betsy Stovall. 2026-07-14. Existence of maximizers for $L^p$ Fourier extension from the hyperbolic paraboloid. https://arxiv.org/abs/2607.13181

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