The $L^p$ boundedness of wave operators for the three-dimensional multi-centre point interaction

Abstract

We prove that, for arbitrary centres and strengths, the wave operators for three dimensional Schrödinger operators with multi-centre local point interactions are bounded in $L^p({\mathbb{R}}^3)$ for $1<p<3$ and unbounded otherwise.

to appear on Annales Henri Poincaré, 2017

References in corpus (1)

• Dispersive estimates for Schrödinger operators with point interactions in ${\mathbb{R}}^3$

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