Trace theorem on the Heisenberg group
Annales de l'Institut Fourier, Volume 59 (2009) no. 2, p. 491-514

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

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.

DOI : https://doi.org/10.5802/aif.2437
Classification:  35Axx,  35Hxx,  35Sxx
Keywords: Trace and trace lifting, Heisenberg group, Hörmander condition, Hardy’s inequality
@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},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {59},
     number = {2},
     year = {2009},
     pages = {491-514},
     doi = {10.5802/aif.2437},
     mrnumber = {2521425},
     zbl = {1176.46037},
     language = {en},
     url = {http://www.numdam.org/item/AIF_2009__59_2_491_0}
}
Bahouri, Hajer; Chemin, Jean-Yves; Xu, Chao-Jiang. Trace theorem on the Heisenberg group. Annales de l'Institut Fourier, Volume 59 (2009) no. 2, pp. 491-514. doi : 10.5802/aif.2437. http://www.numdam.org/item/AIF_2009__59_2_491_0/

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