Maximal restriction estimates and the maximal function of the Fourier transform

DOI10.1090/proc/14805zbMath1431.42035arXiv1810.06971OpenAlexW2982558237MaRDI QIDQ5212417

João Pedro Ramos

Publication date: 29 January 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.06971

zbMATH Keywords

Fourier transformmaximal functionsFourier restriction

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (5)

Large sets without Fourier restriction theorems ⋮ Low-Dimensional maximal restriction principles for the Fourier transform ⋮ Maximal operators and Fourier restriction on the moment curve ⋮ A variational restriction theorem ⋮ A note on maximal Fourier restriction for spheres in all dimensions

Cites Work

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• Fourier restriction implies maximal and variational Fourier restriction
• Inequalities for strongly singular convolution operators
• A restriction estimate using polynomial partitioning
• Multiparameter singular integrals on the Heisenberg group: uniform estimates
• Fourier multipliers and estimates of the Fourier transform of measures carried by smooth curves in R²
• On Fourier coefficients and transforms of functions of two variables
• Oscillatory integrals and multiplier problem for the disc
• A restriction theorem for the Fourier transform

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