Maximal operators and Fourier restriction on the moment curve

2021/02/17 by Michael Jesurum, Jesurum, Michael
Mathematics · #42-02 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42-02

paper · pdf · doi:10.48550/arxiv.2102.09025

arxiv created 2021/10/22 · arxiv updated 2021/10/25

Abstract

We bound certain r-maximal restriction operators on the moment curve.

Related

• A note on maximal operators for moment curves
• Low-dimensional maximal restriction principles for the Fourier transform
• Existence of extremizers for Fourier restriction to the moment curve
• Maximal restriction estimates and the maximal function of the Fourier transform
• A maximal restriction theorem and Lebesgue points of functions in F(L^p)