On dilation operators and sampling numbers (Q949081)
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scientific article; zbMATH DE number 5354254
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On dilation operators and sampling numbers |
scientific article; zbMATH DE number 5354254 |
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On dilation operators and sampling numbers (English)
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20 October 2008
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The author considers the dilation operators \(T_k\) in the frame of Besov spaces \(B_{pq}^{s}(\mathbb{R}^d),1\leq p,q\leq\infty\). The case \(s=0\) is also studied in the present paper. It is observed that new effects based on Littlewood-Paley theory appear. In the other part of the paper author apply these results to the study of so called sampling numbers.
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linear and nonlinear approximation methods
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Besov spaces
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dilation operators
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sampling operators
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0.8974752
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0.8862471
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0.8777532
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