L^p-boundedness of wave operators for 2D Schroedinger operators with point interactions
L^p-boundedness of wave operators for 2D Schroedinger operators with point interactions
复制标题
具有点相互作用的二维薛定谔算子的波算子的 L^p 有界性
DOI：
10.1007/s00023-021-01017-4
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发表时间：
2021
影响因子：
1.5
通讯作者：
Yajima Kenji
中科院分区：
文献类型：
--
作者：
Yajima Kenji
对于具有点相互作用的二维薛定谔算子H，我们证明了自由薛定谔算子对的散射波算子在Lebesgue空间中有界当且仅当不存在满足的广义本征函数.否则它们是有界的和无界的。
For two dimensional Schrödinger operatorHwith point interactions, we prove that wave operators of scattering for the pair,being the free Schrödinger operator, are bounded in the Lebesgue spaceforif and only if there are no generalized eigenfunctions ofwhich satisfyas,. Otherwise they are bounded forand unbounded for.