Fourier restriction implies maximal and variational Fourier restriction
Classical Analysis and ODEs
2019-09-13 v3 Functional Analysis
Abstract
We give an abstract argument that an a priori Fourier restriction estimate for a certain choice of exponents automatically implies maximal and variational Fourier restriction estimates. These, in turn, provide pointwise and quantitative interpretations of restriction of the Fourier transform to the hypersurface in question.
Cite
@article{arxiv.1811.05462,
title = {Fourier restriction implies maximal and variational Fourier restriction},
author = {Vjekoslav Kovač},
journal= {arXiv preprint arXiv:1811.05462},
year = {2019}
}
Comments
12 pages, v3: referee's suggestions incorporated, accepted for publication in J. Funct. Anal