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

Giulia Furioli·Camillo Melzi·Alessandro Veneruso
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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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Giulia Furioli, Camillo Melzi, Alessandro Veneruso. 2005-02-18. Littlewood-Paley decompositions and Besov spaces on Lie groups of polynomial growth. https://arxiv.org/abs/math/0502406

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