Maximal restriction estimates and the maximal function of the Fourier transform
Classical Analysis and ODEs
2018-10-17 v1
Abstract
We prove a maximal restriction inequality for the Fourier transform, providing an answer to a question left open by M\"uller, Ricci and Wright. Our methods are similar to the ones in their article, with the addition of a suitable trick to help us linearise our maximal function. In the end, we comment on how to use the same trick in combination with Vitturi's approach to obtain a stronger high-dimensional result.
Cite
@article{arxiv.1810.06971,
title = {Maximal restriction estimates and the maximal function of the Fourier transform},
author = {João P. G. Ramos},
journal= {arXiv preprint arXiv:1810.06971},
year = {2018}
}
Comments
7 pages