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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.
M. GrüterDüsseldorf University, Düsseldorf, West GermanyS. HildebrandtBonn University, Bonn, West GermanyJ. C. C. NitscheUniversity of Minnesota, Minneapolis, MN, USA
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