Extensions of the Stein-Tomas theorem

Details Extensions of the Stein-Tomas theorem Extensions of the Stein-Tomas theorem

2010-04-28

arxiv.org/abs/1004.4948v1

Mathematical Research Letters, 18 (2011), 767--781

Mathematics

Classical Analysis and ODEs

Scientific paper

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.

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