Characterization of Orlicz–Sobolev space

Heli Tuominen Department of Mathematics and Statistics, University of Jyväskylä

TBD mathscidoc:1701.333093

Arkiv for Matematik, 45, (1), 123-139, 2005.9
We give a new characterization of the Orlicz–Sobolev space$W$^{1,Ψ}(R^{$n$}) in terms of a pointwise inequality connected to the Young function Ψ. We also study different Poincaré inequalities in the metric measure space.
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  title={Characterization of Orlicz–Sobolev space},
  author={Heli Tuominen},
  booktitle={Arkiv for Matematik},
Heli Tuominen. Characterization of Orlicz–Sobolev space. 2005. Vol. 45. In Arkiv for Matematik. pp.123-139.
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