Paraproduit sur le groupe de Heisenberg et applications.

Título original	Paraproduit sur le groupe de Heisenberg et applications.
Título inglés	Paraproduct on the Heisenberg group and applications.
Título español	Paraproductos sobre el grupo de Heisenberg y aplicaciones.
Autor/es	Bahouri, Hajer ; Gallagher, Isabelle
Organización	Dép. Math. Fac. Sci. Tunis, Túnez, Túnez;Dép. Math. Univ. Paris-Sud, Orsay, Francia
Revista	0213-2230
Publicación	2001, 17 (1): 69-105, 21 Ref.
Tipo de documento	articulo
Idioma	Francés
Resumen inglés	We adapt the homogeneous Littlewood-Paley decomposition on the Heisenberg group constructed by H. Bahouri, P. Gérard et C.-J. Xu in [4] to the inhomogeneous case, which enables us to build paraproduct operators, similar to those defined by J.-M. Bony in [5]; although there is no simple formula for the Fourier transform of the product of two functions, some spectral localization properties of the classical case are preserved on the Heisenberg group after the product has been taken. Using the dyadic decomposition and the paraproduct algorithm, we prove the Gagliardo-Nierenberg inequality on the Heisenberg group; the smoothness of solutions of subelliptic, semi-linear systems is also studied, as well as semi-linear wave equations.
Clasificación UNESCO	120220
Palabras clave español	Ecuaciones de Navier-Stokes ; Ecuaciones diferenciales no lineales ; Funciones de Littlewood-Paley
Código MathReviews	MR1846091
Código Z-Math	Zbl 0971.43002
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