Lp-boundedness of wave operators for the three-dimensional multi-centre point interaction

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dc.contributor.areaMathematicsen_US
dc.contributor.authorDell'Antonio, Gianfausto
dc.contributor.authorMichelangeli, Alessandro
dc.contributor.authorScandone, Raffaele
dc.contributor.authorYajima, Kenji
dc.date.accessioned2017-04-13T11:49:31Z
dc.date.available2017-04-13T11:49:31Z
dc.date.issued2017-04-13
dc.description.abstractWe 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.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35283
dc.language.isoenen_US
dc.miur.area1en_US
dc.relation.firstpage1en_US
dc.relation.ispartofseriesSISSA;70/2016/MATE
dc.relation.lastpage33en_US
dc.subjectPoint interactionsen_US
dc.subjectSingular perturbations of the Laplacianen_US
dc.subjectSelfadjoint extensionsen_US
dc.subjectWave operatorsen_US
dc.subjectDispersive estimatesen_US
dc.subjectCalderón-Zygmunden_US
dc.subjectMuckenhaupt weighted inequalitiesen_US
dc.titleLp-boundedness of wave operators for the three-dimensional multi-centre point interactionen_US
dc.typePreprinten_US

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