Besov algebras on Lie groups of polynomial growth

Isabelle Gallagher (1) , Yannick Sire (2)

1 IMJ - Institut de Mathématiques de Jussieu
2 LATP - Laboratoire d'Analyse, Topologie, Probabilités

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.

Domaines: Equations aux dérivées partielles [math.AP]

Isabelle Gallagher, Yannick Sire. Besov algebras on Lie groups of polynomial growth. 2012. ⟨hal-00522665v3⟩