Sharpness of the Mockenhaupt-Mitsis-Bak-Seeger Restriction Theorem in Higher Dimensions
Classical Analysis and ODEs
2016-10-07 v2
Abstract
We prove the range of exponents in the general Fourier restriction theorem due to Mockenhaupt, Mitsis, Bak and Seeger is sharp for a large class of measures on . This extends to higher dimensions the sharpness result of Hambrook and {\L}aba.
Cite
@article{arxiv.1509.05912,
title = {Sharpness of the Mockenhaupt-Mitsis-Bak-Seeger Restriction Theorem in Higher Dimensions},
author = {Kyle Hambrook and Izabella Łaba},
journal= {arXiv preprint arXiv:1509.05912},
year = {2016}
}