Sharpness of the Mockenhaupt–Mitsis–Bak–Seeger restriction theorem in higher dimensions

DOI10.1112/blms/bdw041zbMath1355.42002arXiv1509.05912OpenAlexW2240438279MaRDI QIDQ2830649

Izabella Łaba, Kyle Hambrook

Publication date: 28 October 2016

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.05912

zbMATH Keywords

Fourier transformfractal measureFourier decayFourier restriction

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Multipliers for harmonic analysis in several variables (42B15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fractals (28A80)

Related Items (5)

Large sets without Fourier restriction theorems ⋮ Maximal operators and decoupling for Λ(p) Cantor measures ⋮ Finite field analogue of restriction theorem for general measures ⋮ Measure and dimension of sums and products ⋮ Endpoint Fourier restriction and unrectifiability

Cites Work

• Unnamed Item
• On the sharpness of Mockenhaupt's restriction theorem
• Arithmetic progressions in sets of fractional dimension
• Extensions of the Stein-Tomas theorem
• Convolution Powers of Salem Measures With Applications
• A Fourier restriction theorem based on convolution powers
• Salem sets and restriction properties of Fourier transforms

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