Besov spaces for Schrodinger operators with barrier potentials

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Let 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.
35 pages

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Classical Analysis and ODEs, Spectral Theory, 42B25; 35P25

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http://salesiana.dossiersoluciones.com/handle/123456789/73250

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411348
 http://arxiv.org/abs/math/0411348

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arXiv