An endpoint estimate of the bilinear paraboloid restriction operator
Classical Analysis and ODEs
2021-12-23 v2 Analysis of PDEs
Abstract
In Fourier restriction problems, a cone and a paraboloid are model surfaces. The sharp bilinear cone restriction estimate was first shown by Wolff, and later the endpoint was obtained by Tao. For a paraboloid, the sharp bilinear restriction estimate was obtained by Tao, but the endpoint was remained open. In this paper we prove the endpoint bilinear restriction estimate for a paraboloid.
Keywords
Cite
@article{arxiv.2106.15619,
title = {An endpoint estimate of the bilinear paraboloid restriction operator},
author = {Jungjin Lee},
journal= {arXiv preprint arXiv:2106.15619},
year = {2021}
}
Comments
30 pages, 2 figures. The previous version has some discordant elements in section 8. We have corrected them