Sharpness of the Mockenhaupt-Mitsis-Bak-Seeger Fourier restriction theorem in all dimensions

We prove the optimality of the exponent in the Mockenhaupt-Mitsis-Bak-Seeger Fourier restriction theorem in all dimensions $d$ and the full parameter range $0 < a,b < d$. Our construction is deterministic and also yields Salem sets.

Publication Details

Journal
ArXiv.org
Published
2025-05-26
Primary Topic
Advanced Harmonic Analysis Research
Type
article
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article

Sharpness of the Mockenhaupt-Mitsis-Bak-Seeger Fourier restriction theorem in all dimensions

ArXiv.org
Advanced Harmonic Analysis Research
article

Sharpness of the Mockenhaupt-Mitsis-Bak-Seeger Fourier restriction theorem in all dimensions

article en

Abstract

We prove the optimality of the exponent in the Mockenhaupt-Mitsis-Bak-Seeger Fourier restriction theorem in all dimensions $d$ and the full parameter range $0 < a,b < d$. Our construction is deterministic and also yields Salem sets.

ArXiv.org
Openalex Percentile: Top 39%
Advanced Harmonic Analysis Research
Open Access PDFOpenAlex
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Sharpness of the Mockenhaupt-Mitsis-Bak-Seeger Fourier restriction theorem in all dimensions · ArXiv.org (2025) | TGRS Research Map | TGRS