Extensions of the Stein-Tomas theorem

Mathematical Research Letters, 18 (2011), 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-Sj...

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Bibliographic Details
Main Authors Bak, Jong-Guk, Seeger, Andreas
Format Journal Article
LanguageEnglish
Published 28.04.2010
Subjects
Mathematics - Classical Analysis and ODEs
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Summary:Mathematical Research Letters, 18 (2011), 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-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.
DOI:10.48550/arxiv.1004.4948