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Decompositions of the space of loops on a lie group

✍ Scribed by Andrew Pressley

Book ID: 107865072
Publisher: Elsevier Science
Year: 1980
Tongue: English
Weight: 959 KB
Volume: 19
Category: Article
ISSN: 0040-9383
DOI: 10.1016/0040-9383(80)90032-4

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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 __B__ ^__s,q__^ ~__p__~ (__G_