Multidimensional generalization of the Matsaev-Solomyak theorem on the duality of Besov spaces and the spaces of Lipschitz functions (Q1901886)
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scientific article; zbMATH DE number 815625
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multidimensional generalization of the Matsaev-Solomyak theorem on the duality of Besov spaces and the spaces of Lipschitz functions |
scientific article; zbMATH DE number 815625 |
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Multidimensional generalization of the Matsaev-Solomyak theorem on the duality of Besov spaces and the spaces of Lipschitz functions (English)
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18 August 1998
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\textit{V. I. Matsaev} and \textit{M. Z. Solomyak} [Mat. Sb., n. Ser. 88(130), 522-535 (1972; Zbl 0246.26005)] established the duality between the Besov space \( B^{1 -\alpha}_{1}(I)\) and the space \(\Lambda^{0}_{\alpha}(I)\) consisting of all functions \(f\) that satisfy condition \(f(0)=0\) and the Lipschitz condition of order \(\alpha \in (0, 1)\) on the unit interval \(I\). Here the author extends the Matsaev-Solomyak's result to the space \(B^{\alpha}_{1}(I^{n})\).
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Besov space
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Lipschitz condition
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0.7729547619819641
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0.7706874012947083
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0.7570606470108032
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0.7488281726837158
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