Littlewood-Paley theorem for Schroedinger operators

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dc.creatorZheng, Shijun
dc.date2006-09-06
dc.date.accessioned2026-07-07T07:24:35Z
dc.date.available2026-07-07T07:24:35Z
dc.descriptionLet $H$ be a Schrödinger operator on $\R^n$. Under a polynomial decay condition for the kernel of its spectral operator, we show that the Besov spaces and Triebel-Lizorkin spaces associated with $H$ are well defined. We further give a Littlewood-Paley characterization of $L_p$ spaces as well as Sobolev spaces in terms of dyadic functions of $H$. This generalizes and strengthens the previous result when the heat kernel of $H$ satisfies certain upper Gaussian bound.
dc.descriptioneight pages. submitted
dc.identifierhttps://arxiv.org/abs/math/0609185
dc.identifierhttp://arxiv.org/abs/math/0609185
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116410
dc.subjectAnalysis of PDEs
dc.subjectClassical Analysis and ODEs
dc.subject42B25, 35P25
dc.titleLittlewood-Paley theorem for Schroedinger operators
dc.typetext

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