Nous construisons un espace optimal du type Sobolev dont toutes les fonctions admettent une trace sur les sous-espaces de d’une dimension donnée. Un théorème d’inclusion des traces correspondant avec une image précise est établi.
We find an optimal Sobolev-type space on all of whose functions admit a trace on subspaces of of given dimension. A corresponding trace embedding theorem with sharp range is established.
@article{AIF_2010__60_3_939_0, author = {Cianchi, Andrea and Pick, Lubo\v s}, title = {An optimal endpoint trace embedding}, journal = {Annales de l'Institut Fourier}, volume = {60}, year = {2010}, pages = {939-951}, doi = {10.5802/aif.2543}, zbl = {1208.46029}, mrnumber = {2680820}, language = {en}, url = {http://dml.mathdoc.fr/item/AIF_2010__60_3_939_0} }
Cianchi, Andrea; Pick, Luboš. An optimal endpoint trace embedding. Annales de l'Institut Fourier, Tome 60 (2010) pp. 939-951. doi : 10.5802/aif.2543. http://gdmltest.u-ga.fr/item/AIF_2010__60_3_939_0/
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