{"paper":{"title":"Extensions of the Stein-Tomas theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Andreas Seeger, Jong-Guk Bak","submitted_at":"2010-04-28T04:05:56Z","abstract_excerpt":"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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.4948","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}