A new characterization of the Sobolev space
Piotr Hajłasz
Studia Mathematica, Tome 157 (2003), p. 263-275 / Harvested from The Polish Digital Mathematics Library
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The purpose of this paper is to provide a new characterization of the Sobolev space W1,1(ℝⁿ). We also show a new proof of the characterization of the Sobolev space W1,p(ℝⁿ), 1 ≤ p < ∞, in terms of Poincaré inequalities.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:285129 
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Piotr Hajłasz. A new characterization of the Sobolev space. Studia Mathematica, Tome 157 (2003) pp. 263-275. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm159-2-7/