{ "id": "1912.06664", "version": "v1", "published": "2019-12-13T19:03:46.000Z", "updated": "2019-12-13T19:03:46.000Z", "title": "The multilinear restriction estimate: almost optimality and localization", "authors": [ "Ioan Bejenaru" ], "categories": [ "math.CA" ], "abstract": "The first result in this paper provides a very general $\\epsilon$-removal argument for the multilinear restriction estimate. The second result provides a refinement of the multilinear restriction estimate in the case when some terms have appropriate localization properties; this generalizes a prior result of the author.", "revisions": [ { "version": "v1", "updated": "2019-12-13T19:03:46.000Z" } ], "analyses": { "keywords": [ "multilinear restriction estimate", "optimality", "appropriate localization properties", "removal argument", "second result" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }