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arXiv · 2410.23106

On sharp Fourier extension from spheres in arbitrary dimensions

Emanuel Carneiro·Giuseppe Negro·Diogo Oliveira e Silva
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Abstract

We prove a new family of sharp $L^2(\mathbb S^{d-1})\to L^4(\mathbb R^d)$ Fourier extension inequalities from the unit sphere $\mathbb S^{d-1}\subset \mathbb R^d$, valid in arbitrary dimensions $d\geq 3$.

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Emanuel Carneiro, Giuseppe Negro, Diogo Oliveira e Silva. 2024-10-30. On sharp Fourier extension from spheres in arbitrary dimensions. https://arxiv.org/abs/2410.23106

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