Factorisation in Restriction theory and near extremisers
Classical Analysis and ODEs
2021-07-01 v2
Abstract
We give an alternative argument to the application of the so-called Maurey- Nikishin-Pisier factorisation in Fourier restriction theory. Based on an induction-on-scales argument, our comparably simple method applies to any compact quadratic surface, in particular compact parts of the paraboloid and the hyperbolic paraboloid. This is achieved by constructing near extremisers with big "mass", which itself might be of interest.
Keywords
Cite
@article{arxiv.2106.02587,
title = {Factorisation in Restriction theory and near extremisers},
author = {Stefan Buschenhenke},
journal= {arXiv preprint arXiv:2106.02587},
year = {2021}
}