Trace theorem on the Heisenberg group

Hajer Bahouri (1) , Jean-Yves Chemin (2) , Chao-Jiang Xu (3)

1 Département de mathématiques [Tunis]
2 LJLL - Laboratoire Jacques-Louis Lions
3 LMRS - Laboratoire de Mathématiques Raphaël Salem

We prove in this work the trace and trace lifting theorem for Sobolev spaces on the Heisenberg groups for hypersurfaces with characteristics submanifolds.

Mots clés: Trace and trace lifting; Heisenberg group; Hörmander condition; Hardy's inequality

Domaines: Equations aux dérivées partielles [math.AP]

Hajer Bahouri, Jean-Yves Chemin, Chao-Jiang Xu. Trace theorem on the Heisenberg group. Annales de l'Institut Fourier, 2009, 59 (2), pp.491-514. ⟨hal-00434256⟩