Smooth approximation in weighted Sobolev spaces
Kilpeläinen, Tero
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997), p. 29-35 / Harvested from Czech Digital Mathematics Library
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We give necessary and sufficient conditions for the equality $H=W$ in weighted Sobolev spaces. We also establish a Rellich-Kondrachov compactness theorem as well as a Lusin type approximation by Lipschitz functions in weighted Sobolev spaces.

Publié le : 1997-01-01
Classification:  41A65,  46E35 
@article{118900,
     author = {Tero Kilpel\"ainen},
     title = {Smooth approximation in weighted Sobolev spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {38},
     year = {1997},
     pages = {29-35},
     zbl = {0886.46035},
     mrnumber = {1455468},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118900}
}

Kilpeläinen, Tero. Smooth approximation in weighted Sobolev spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) pp. 29-35. http://gdmltest.u-ga.fr/item/118900/

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