论文标题
SchrödingerDynamics的散射波运算符的$ l^p $ - 第2部分
$L^p$ Boundedness of the Scattering Wave Operators of Schrödinger Dynamics -- Part 2
论文作者
论文摘要
我们在数据的低频部分中给出了散射波运算符的$ l^p $有界性的另一个证明。该证明还允许使用$ l^p $中的波动运算符控制乘以乘以乘以乘以乘以。我们在这里开发的方法旨在证明\ emph {时间依赖电位}的相似结果,并补充了以前的工作,重点是高频部分。
We give another proof of the $L^p$ boundedness of scattering wave operators, at the low frequency part of the data. The proof also allows the control of the commutator of multiplication by $|x|$ with the wave operator in $L^p$. The method we develop here is geared to proving similar results for \emph{time dependent potentials}, complementing previous work focused on the high frequency part.