Low-dimensional maximal restriction principles for the Fourier transform

2019/04/24 by João Pedro Ramos, Ramos, João Pedro
Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1904.10858

openalex publication_date 2019/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Following the ideas from a paper by the same author, we prove abstract maximal restriction results for the Fourier transform. Our results deal mainly with maximal operators of convolution-type and r-average maximal functions. As a by-product of our techniques we obtain spherical maximal restriction estimates, as well as restriction estimates for 2-average maximal functions, answering thus points left open by V. Kovač and Müller, Ricci and Wright.

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