Maximal inequalities and Riesz transform estimates on $L^p$ spaces for Schrödinger operators with nonnegative potentials

dc.creatorAuscher, Pascal
dc.creatorAli, Besma Ben
dc.date2006-05-02
dc.date2007-02-10
dc.date.accessioned2026-07-07T07:45:41Z
dc.date.available2026-07-07T07:45:41Z
dc.descriptionWe show various $L^p$ estimates for Schrödinger operators $-Δ+V$ on $\RR^n$ and their square roots. We assume reverse Hölder estimates on the potential, and improve some results of Shen \cite{Sh1}. Our main tools are improved Fefferman-Phong inequalities and reverse Hölder estimates for weak solutions of $-Δ+V$ and their gradients.
dc.descriptionRevised version
dc.identifierhttps://arxiv.org/abs/math/0605047
dc.identifierhttp://arxiv.org/abs/math/0605047
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123614
dc.subjectAnalysis of PDEs
dc.subjectClassical Analysis and ODEs
dc.subject35J10, 42B20
dc.titleMaximal inequalities and Riesz transform estimates on $L^p$ spaces for Schrödinger operators with nonnegative potentials
dc.typetext

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