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Characterization of Orlicz–Sobolev space |
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| Authors: | Heli Tuominen |
| Affiliation: | 1.Department of Mathematics and Statistics,University of Jyv?skyl?,Jyv?skyl?,Finland |
| Abstract: | 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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