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trace and trace lifting theorems in weighted sobolev spaces

Published online by Cambridge University Press:  21 June 2005

hajer bahouri ,
jean-yves chemin  and
chao-jiang xu
hajer bahouri
Affiliation:
université de tunis, département de mathématiques, 1060 tunis, tunisia ([email protected])
jean-yves chemin
Affiliation:
université pierre-et-marie-curie, analyse numérique, 4, place jussieu, 75230 paris cedex 05, france ([email protected])
chao-jiang xu
Affiliation:
université de rouen, upres-a6085, mathématiques, 76821 mont-saint-aignan, france ([email protected]) wuhan university, institute of mathematics, 430072 wuhan, people's republic of china
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Abstract

we prove in this work the trace and trace lifting theorems for the sobolev spaces associated with a system of hörmander’s vectors fields of order 2. the case of non-degenerate characteristic points for left invariant vector fields on the heisenberg group is also studied.

dans ce travail, nous démontrons des théorèmes de trace et de relèvement pour les espaces de sobolev associés à un système de champs de vecteurs satisfaisant la condition de hörmander à l’ordre 2. le cas des points caractéristiques non dégénérés pour les champs de vecteurs invariants à gauche sur le groupe d’heisenberg est aussi traité.

Keywords

trace and trace liftingheisenberg grouphörmander conditionweyl–hörmander calculusprimary 35a35h35s
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 4 , Issue 4 , October 2005 , pp. 509 - 552
Copyright
2005 cambridge university press

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