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

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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.
17 pages

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Classical Analysis and ODEs, Spectral Theory, 22E25, 46E35

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http://salesiana.dossiersoluciones.com/handle/123456789/74251

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502406
 http://arxiv.org/abs/math/0502406

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arXiv