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Refined inequalities on graded Lie groups

2012; Elsevier BV; Volume: 350; Issue: 7-8 Linguagem: Francês

10.1016/j.crma.2012.04.014

ISSN

1778-3569

Autores

Hajer Bahouri, Clotilde Fermanian Kammerer, Isabelle Gallagher,

Tópico(s)

Nonlinear Partial Differential Equations

Resumo

We construct a Littlewood–Paley decomposition associated to a Rockland operator on graded Lie groups, which allows us to deduce refined Gagliardo–Nirenberg, Sobolev and Hardy inequalities. On construit une décomposition de Littlewood–Paley associée à un opérateur de Rockland sur les groupes de Lie gradués, qui permet de déduire des inégalités précisées de type Gagliardo–Nirenberg, Sobolev et Hardy.

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