Citation
T. Tao et A. Vargas, A bilinear approach to cone multipliers II. Applications, GEO FUNCT A, 10(1), 2000, pp. 216-258
Citations number
37
Categorie Soggetti
Mathematics
Journal title
GEOMETRIC AND FUNCTIONAL ANALYSIS
ISSN journal
1016443X
→ ACNP
Volume
10
Issue
1
Year of publication
2000
Pages
216 - 258
Database
ISI
SICI code
1016-443X(2000)10:1<216:ABATCM>2.0.ZU;2-B
Abstract
This paper is a continuation of [TV], in which new bilinear estimates for s
urfaces in R-3 were proven. We give a concrete improvement to the square fu
nction estimate of Mockenhaupt [M]. We apply these estimates to give new pr
ogress on several open problems concerning the wave and Schrodinger equatio
n in R2+1, and convolution with curves in R-3.