Bilinear restriction estimates for surfaces with curvatures of different signs
Bilinear restriction estimates for surfaces with curvatures of different signs
复制标题
DOI：
10.1090/s0002-9947-05-03796-7
复制
发表时间：
2005-08
影响因子：
1.3
通讯作者：
Sanghyuk Lee
中科院分区：
文献类型：
--
作者：
Sanghyuk Lee
最近，Wolff和Tao分别建立了锥和抛物面的锐L2-双线性（伴随）约束估计.他们的结果依赖于这样一个事实，即对于圆锥和抛物面，非零主曲率具有相同的符号。我们将这些双线性约束估计推广到具有不同符号曲率的曲面。
Recently, the sharp L 2 -bilinear (adjoint) restriction estimates for the cone and the paraboloid were established by Wolff and Tao, respectively. Their results rely on the fact that for the cone and the paraboloid, the nonzero principal curvatures have the same sign. We generalize those bilinear restriction estimates to surfaces with curvatures of different signs.