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Besov algebras on Lie groups of polynomial growth and related results
Isabelle Gallagher 1, Yannick Sire 2
(2010-10-01)

In this paper we prove an algebra property under pointwise multiplication for Besov spaces defined on Lie groups of polynomial growth. When the setting is restricted to the case of H-type groups, this algebra property is generalized to paraproduct estimates.
1:  Institut de Mathématiques de Jussieu (IMJ)
CNRS : UMR7586 – Université Pierre et Marie Curie (UPMC) - Paris VI – Université Paris VII - Paris Diderot
2:  Laboratoire d'Analyse, Topologie, Probabilités (LATP)
CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III
Mathematics/Analysis of PDEs
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