Geodesic
Sobolev-type spaces from generalized Poincaré inequalities
Toni Heikkinen1 ; Pekka Koskela1 ; Heli Tuominen1
1 Department of Mathematics and Statistics P.O. Box 35 FI-40014 University of Jyväskylä, Finland
Studia Mathematica, Tome 181 (2007) no. 1, pp. 1-16

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

We define a Sobolev space by means of a generalized Poincaré inequality and relate it to a corresponding space based on upper gradients.
DOI : 10.4064/sm181-1-1
Keywords: define sobolev space means generalized poincar inequality relate corresponding space based upper gradients

Toni Heikkinen 1 ; Pekka Koskela 1 ; Heli Tuominen 1

1 Department of Mathematics and Statistics P.O. Box 35 FI-40014 University of Jyväskylä, Finland 
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Toni Heikkinen; Pekka Koskela; Heli Tuominen. Sobolev-type spaces from generalized Poincaré inequalities. Studia Mathematica, Tome 181 (2007) no. 1, pp. 1-16. doi: 10.4064/sm181-1-1

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