Besov spaces for Schrodinger operators with barrier potentials

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dc.creatorBenedetto, John J.
dc.creatorZheng, Shijun
dc.date2004-11-16
dc.date.accessioned2026-07-07T05:14:22Z
dc.date.available2026-07-07T05:14:22Z
dc.descriptionLet H be a Schrodinger operator with barrier potential on the real line. We define the Besov spaces for H by developing the associated Littlewood-Paley theory. This theory depends on the decay estimates of the spectral operator in the high and low energies. We also prove a Mikhlin-Hormander type multiplier theorem on these spaces, including the Lp boundedness result. Our approach has potential applications to other Schrodinger operators with short-range potentials, as well as in higher dimensions.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/math/0411348
dc.identifierhttp://arxiv.org/abs/math/0411348
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73250
dc.subjectClassical Analysis and ODEs
dc.subjectSpectral Theory
dc.subject42B25; 35P25
dc.titleBesov spaces for Schrodinger operators with barrier potentials
dc.typetext

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