Geodesic
A new characterization of the Sobolev space
Piotr Hajłasz1
1 Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland
Studia Mathematica, Tome 159 (2003) no. 2, pp. 263-275

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The purpose of this paper is to provide a new characterization of the Sobolev space $W^{1,1}( \mathbb R^n)$. We also show a new proof of the characterization of the Sobolev space $W^{1,p}( \mathbb R^n)$, $1\leq p\infty $, in terms of Poincaré inequalities.
DOI : 10.4064/sm159-2-7
Keywords: purpose paper provide characterization sobolev space mathbb proof characterization sobolev space mathbb leq infty terms poincar inequalities

Piotr Hajłasz 1

1 Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland 
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Piotr Hajłasz. A new characterization of the Sobolev space. Studia Mathematica, Tome 159 (2003) no. 2, pp. 263-275. doi: 10.4064/sm159-2-7

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