Sharp L p -weighted Sobolev inequalities
Pérez, Carlos
Annales de l'Institut Fourier, Tome 45 (1995), p. 809-824 / Harvested from Numdam
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Nous obtenons des estimations de la forme

∫Rn|f(x)|pv(x)dx≤C∫Rn|q(D)(f)(x)|pN(v)(x)dx

dans des espaces de Sobolev avec poids. Nous montrons que le résultat est optimal. Ici q(D) est un opérateur différentiel, N étant le composé de plusieurs opérateurs de type maximal liés avec q(D) et p.

We prove sharp weighted inequalities of the form

∫Rn|f(x)|pv(x)dx≤C∫Rn|q(D)(f)(x)|pN(v)(x)dx

where q(D) is a differential operator and N is a combination of maximal type operator related to q(D) and to p.

@article{AIF_1995__45_3_809_0,
     author = {P\'erez, Carlos},
     title = {Sharp $L^p$-weighted Sobolev inequalities},
     journal = {Annales de l'Institut Fourier},
     volume = {45},
     year = {1995},
     pages = {809-824},
     doi = {10.5802/aif.1475},
     mrnumber = {96m:42032},
     zbl = {0820.42008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1995__45_3_809_0}
}

Pérez, Carlos. Sharp $L^p$-weighted Sobolev inequalities. Annales de l'Institut Fourier, Tome 45 (1995) pp. 809-824. doi : 10.5802/aif.1475. http://gdmltest.u-ga.fr/item/AIF_1995__45_3_809_0/

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