Littlewood-Paley decompositions and Besov spaces on Lie groups of polynomial growth

2005/02/18 by Giulia Furioli, Furioli, Giulia, Camillo Melzi +3 · 1 citation
Mathematics · #22E25 #46E35 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Spectral Theory (math.SP) #math.CA #math.SP #msc:22E25 #msc:46E35

paper · pdf · doi:10.48550/arxiv.math/0502406

17 pages

arxiv created 2005/02/18 · arxiv updated 2009/12/01

Abstract

We introduce a Littlewood-Paley decomposition related to any sub-Laplacian on a Lie group G of polynomial volume growth; this allows us to prove a Littlewood-Paley theorem in this general setting and to provide a dyadic characterization of Besov spaces equivalent to the classical definition through the heat kernel.

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• Strichartz estimates and its application to the well-posedness of the nonlinear Schrödinger equations on H-type groups

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