Endpoint bilinear restriction theorems for the cone, and some sharp null form estimates

Authors
Citation
T. Tao, Endpoint bilinear restriction theorems for the cone, and some sharp null form estimates, MATH Z, 238(2), 2001, pp. 215-268
Citations number
24
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE ZEITSCHRIFT
ISSN journal
00255874 → ACNP
Volume
238
Issue
2
Year of publication
2001
Pages
215 - 268
Database
ISI
SICI code
0025-5874(200110)238:2<215:EBRTFT>2.0.ZU;2-0
Abstract
Recently Wolff [25] obtained a nearly sharp L-2 bilinear restriction theore m for bounded subsets of the cone in general dimension. We obtain the endpo int of Wolff's estimate and generalize to the case when one of the subsets is large. As a consequence, we are able to deduce some nearly-sharp L-P nul l form estimates.