Embedding of Sobolev spaces in Orlicz spaces and in BMO spaces with power weights (Q2455116)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Embedding of Sobolev spaces in Orlicz spaces and in BMO spaces with power weights |
scientific article |
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Embedding of Sobolev spaces in Orlicz spaces and in BMO spaces with power weights (English)
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22 October 2007
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The author extends the Sobolev embedding theorem \((*)\) to general Sobolev spaces \(W(G)= W^s_{p,v,r,u}(G)\) and to general Orlicz spaces \(L_\Phi(G)\): \[ W(G)\subset L_\Phi(G),\tag{\(*\)} \] where \(G\) are domains satisfying the flexible \(\sigma\)-cone condition.
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