{ "id": "math/0205059", "version": "v1", "published": "2002-05-07T03:51:33.000Z", "updated": "2002-05-07T03:51:33.000Z", "title": "A local smoothing estimate in higher dimensions", "authors": [ "I. Laba", "T. Wolff" ], "comment": "25 pages", "categories": [ "math.CA" ], "abstract": "We prove the higher-dimensional analogue of Wolff's local smoothing estimate (Geom. Funct. Anal. 2001) for large p. As in the 2+1-dimensional case, the estimate is sharp for any given value of p, but it is likely that the range of p can be improved.", "revisions": [ { "version": "v1", "updated": "2002-05-07T03:51:33.000Z" } ], "analyses": { "keywords": [ "higher dimensions", "wolffs local smoothing estimate", "higher-dimensional analogue" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math......5059L" } } }