Lebesgue measure and mappings of the Sobolev class $W^{1,n}$

Martio, O.

Lebesgue measure and mappings of the Sobolev class

W^{1, n}

Martio, O.

Banach Center Publications, Tome 31 (1995), p. 255-262 / Harvested from The Polish Digital Mathematics Library

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Résumé

We present a survey of the Lusin condition (N) for $W^{1, n}$ -Sobolev mappings $f : G \to ℝ^{n}$ defined in a domain G of $ℝ^{n}$ . Applications to the boundary behavior of conformal mappings are discussed.

Publié le : 1995-01-01

Zbl 0876.30026

EUDML-ID : urn:eudml:doc:262873

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     author = {Martio, O.},
     title = {Lebesgue measure and mappings of the Sobolev class $W^{1,n}$
            },
     journal = {Banach Center Publications},
     volume = {31},
     year = {1995},
     pages = {255-262},
     zbl = {0876.30026},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv31z1p255bwm}
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Martio, O. Lebesgue measure and mappings of the Sobolev class $W^{1,n}$
            . Banach Center Publications, Tome 31 (1995) pp. 255-262. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv31z1p255bwm/

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