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.
Keywords: Trace and trace lifting, Heisenberg group, Hörmander condition, Hardy’s inequality
Mot 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}, zbl = {1176.46037}, mrnumber = {2521425}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.2437/} }
TY - JOUR AU - Bahouri, Hajer AU - Chemin, Jean-Yves AU - Xu, Chao-Jiang TI - Trace theorem on the Heisenberg group JO - Annales de l'Institut Fourier PY - 2009 SP - 491 EP - 514 VL - 59 IS - 2 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.2437/ DO - 10.5802/aif.2437 LA - en ID - AIF_2009__59_2_491_0 ER -
%0 Journal Article %A Bahouri, Hajer %A Chemin, Jean-Yves %A Xu, Chao-Jiang %T Trace theorem on the Heisenberg group %J Annales de l'Institut Fourier %D 2009 %P 491-514 %V 59 %N 2 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.2437/ %R 10.5802/aif.2437 %G en %F 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://archive.numdam.org/articles/10.5802/aif.2437/
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