An optimal endpoint trace embedding
[Une injection de trace limite optimale]
Cianchi, Andrea ; Pick, Luboš
Annales de l'Institut Fourier, Tome 60 (2010), p. 939-951 / Harvested from Numdam
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Nous construisons un espace optimal du type Sobolev dont toutes les fonctions admettent une trace sur les sous-espaces de ℝ n 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 ℝ n all of whose functions admit a trace on subspaces of ℝ n of given dimension. A corresponding trace embedding theorem with sharp range is established.

Publié le : 2010-01-01
DOI : https://doi.org/10.5802/aif.2543
Classification:  46E35,  46E30
Mots clés: espaces de Sobolev, inégalités des traces, espaces de Lorentz, espaces invariants par réarrangementxs 
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     author = {Cianchi, Andrea and Pick, Lubo\v s},
     title = {An optimal endpoint trace embedding},
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     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}
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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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