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

2025/05/26 by Fraser, Robert, Hambrook, Kyle, Ryou, Donggeun · 1 citation
#11J83 #28A78 #28A80 #42B10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2505.19526

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.

Citations

• Fourier restriction and well-approximable numbers
• Decoupling and near-optimal restriction estimates for Cantor sets
• Spatially independent martingales, intersections, and applications
• Sets of Salem type and sharpness of the L²-Fourier restriction theorem

Cited by

• Fourier Frames on Salem Measures

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