On the \(L^2\)-pointwise regularity of functions in critical Besov spaces (Q1884145)
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scientific article; zbMATH DE number 2109943
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the \(L^2\)-pointwise regularity of functions in critical Besov spaces |
scientific article; zbMATH DE number 2109943 |
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On the \(L^2\)-pointwise regularity of functions in critical Besov spaces (English)
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25 October 2004
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The main aim of the paper is to prove that for any \[ f \in \bigcap_{p>0} \dot{B}^{n(1/p - 1/2)}_{p,p} (\mathbb R^n) \] there is a set \(E\) in \(\mathbb R^n\) of Hausdorff dimension zero such that \(f\) has the additional pointwise regularity \(f \in C^\infty_{L_2} (x)\) if \(x \not\in E\).
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Besov spaces
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wavelets
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0.9796051
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0.88882375
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0.8882046
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0.8838189
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0.8818074
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0.8801147
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0.8797798
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0.87930566
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