1Institut de Mathématiques UMR 7586 Université Paris VII 175, rue du Chevaleret F-75013 Paris, France 2Université Aix-Marseille and CNRS LATP, CMI 39, rue F. Joliot-Curie F-13453 Marseille Cedex 13, France
Studia Mathematica, Tome 212 (2012) no. 2, pp. 119-139
We prove an algebra property under pointwise multiplication for Besov spaces defined on Lie groups of polynomial growth. When the setting is restricted to H-type groups, this algebra property is generalized to paraproduct estimates.
Keywords:
prove algebra property under pointwise multiplication besov spaces defined lie groups polynomial growth setting restricted h type groups algebra property generalized paraproduct estimates
1
Institut de Mathématiques UMR 7586 Université Paris VII 175, rue du Chevaleret F-75013 Paris, France
2
Université Aix-Marseille and CNRS LATP, CMI 39, rue F. Joliot-Curie F-13453 Marseille Cedex 13, France
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author = {Isabelle Gallagher and Yannick Sire},
title = {Besov algebras on {Lie} groups of polynomial growth},
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Isabelle Gallagher; Yannick Sire. Besov algebras on Lie groups of polynomial growth. Studia Mathematica, Tome 212 (2012) no. 2, pp. 119-139. doi: 10.4064/sm212-2-2