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 B^{s,q}_p(G), s in R, equivalent to the classical definition through the heat kernel.

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

FURIOLI, Giulia Maria Dalia;
2006-01-01

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 B^{s,q}_p(G), s in R, equivalent to the classical definition through the heat kernel.
journal article - articolo
2006
Melzi, Camillo; Furioli, Giulia Maria Dalia; Veneruso, Alessandro
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/19718
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