Mathematical Research Letters
Volume 18 (2011)
Extensions of the Stein–Tomas Theorem
Pages: 767 – 781
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–Sjölin–Hörmander type and some spectral projection operators on compact manifolds, and for classes of oscillatory integral operators with one-sided fold singularities.