Extensions of the Stein-Tomas theorem
Classical Analysis and ODEs
2015-03-17 v1
Abstract
We prove an endpoint version of the Stein-Tomas restriction theorem, for a general class of measures, and with a strengthened Lorentz space estimate. A similar improvement is obtained for Stein's estimate on oscillatory integrals of Carleson-Sj\"olin-H\"ormander type and some spectral projection operators on compact manifolds, and for classes of oscillatory integral operators with one-sided fold singularities.
Keywords
Cite
@article{arxiv.1004.4948,
title = {Extensions of the Stein-Tomas theorem},
author = {Jong-Guk Bak and Andreas Seeger},
journal= {arXiv preprint arXiv:1004.4948},
year = {2015}
}