Trace theorem on the Heisenberg group
[Un théorème de trace sur le groupe d’Heisenberg]
Annales de l'Institut Fourier, Tome 59 (2009) no. 2, pp. 491-514.

Dans ce travail, nous démontrons des théorèmes de trace et de relèvement pour les espaces de Sobolev sur le groupe de Heisenberg pour des hypersurfaces dont l’ensemble caractéristique est une sous-variété.

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

DOI : https://doi.org/10.5802/aif.2437
Classification : 35Axx,  35Hxx,  35Sxx
Mots clés : trace et relèvement, groupe d’Heisenberg, condition de Hörmander, inégalité de Hardy
@article{AIF_2009__59_2_491_0,
     author = {Bahouri, Hajer and Chemin, Jean-Yves and Xu, Chao-Jiang},
     title = {Trace theorem on the Heisenberg group},
     journal = {Annales de l'Institut Fourier},
     pages = {491--514},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {59},
     number = {2},
     year = {2009},
     doi = {10.5802/aif.2437},
     mrnumber = {2521425},
     zbl = {1176.46037},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/aif.2437/}
}
Bahouri, Hajer; Chemin, Jean-Yves; Xu, Chao-Jiang. Trace theorem on the Heisenberg group. Annales de l'Institut Fourier, Tome 59 (2009) no. 2, pp. 491-514. doi : 10.5802/aif.2437. http://www.numdam.org/articles/10.5802/aif.2437/

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