Lp-boundedness of wave operators for the three-dimensional multi-centre point interaction
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Date
2017-04-13
Authors
Dell'Antonio, Gianfausto
Michelangeli, Alessandro
Scandone, Raffaele
Yajima, Kenji
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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 Lp(R3) for 1 < p < 3 and unbounded otherwise.
Description
Keywords
Point interactions, Singular perturbations of the Laplacian, Selfadjoint extensions, Wave operators, Dispersive estimates, Calderón-Zygmund, Muckenhaupt weighted inequalities