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

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

1999-09-14

arxiv.org/abs/math/9909066v2

Mathematics

Classical Analysis and ODEs

41 pages, no figures, submitted to Math Z. Revision corrects some serious errors in previous version. Several expository comme

Scientific paper

Recently Wolff obtained a nearly sharp $L^2$ bilinear restriction theorem for
bounded subsets of the cone in general dimension. We obtain the endpoint 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 $L^p$ null form
estimates.

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