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

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

2005-02-18

arxiv.org/abs/math/0502406v1

Mathematics

Classical Analysis and ODEs

17 pages

Scientific paper

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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