Quasiconformal mappings and Sobolev spaces
Koskela, Pekka ; MacManus, Paul
Studia Mathematica, Tome 129 (1998), p. 1-17 / Harvested from The Polish Digital Mathematics Library
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We examine how Poincaré change under quasiconformal maps between appropriate metric spaces having the same Hausdorff dimension. We also show that for many metric spaces the Sobolev functions can be identified with functions satisfying Poincaré, and this allows us to extend to the metric space setting the fact that quasiconformal maps from ℝQ onto ℝQ preserve the Sobolev space L1,Q(ℝQ).

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:216562 
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     title = {Quasiconformal mappings and Sobolev spaces},
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Koskela, Pekka; MacManus, Paul. Quasiconformal mappings and Sobolev spaces. Studia Mathematica, Tome 129 (1998) pp. 1-17. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv131i1p1bwm/

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