Spaces of functions of mixed smoothness from the decomposition point of view (Q919579)
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scientific article; zbMATH DE number 4161447
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spaces of functions of mixed smoothness from the decomposition point of view |
scientific article; zbMATH DE number 4161447 |
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Spaces of functions of mixed smoothness from the decomposition point of view (English)
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1990
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This survey deals with the spaces \(S^ r_ pL\) and \(S^{\alpha}_{p,\theta}B\) of Sobolev and Besov type, respectively, having dominating mixed smoothness properties. The authors describe decomposition procedures, characterizations via approximation and Fourier-analytical methods of Paley-Littlewood type. Finally the peiodic case is considered.
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spaces with dominating mixed smoothness properties
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decomposition procedures
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characterizations via approximation and Fourier-analytical methods of Paley-Littlewood type
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peiodic case
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0.90862375
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0.90862375
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0.9039825
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0.89597934
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0.8921674
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0.8912648
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