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Interpolation of Besov spaces. Norms given via continuity module - MaRDI portal

Interpolation of Besov spaces. Norms given via continuity module (Q1397511)

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scientific article; zbMATH DE number 1960467
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Interpolation of Besov spaces. Norms given via continuity module
scientific article; zbMATH DE number 1960467

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    Interpolation of Besov spaces. Norms given via continuity module (English)
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    6 August 2003
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    The main aim of the paper is the description of equivalent quasi-norms for the real interpolation spaces \[ \left( B^{s_0}_{p_0, p_0} (R), B^{s_1}_{p_1 , p_1} (R) \right)_{\theta, q} \] where \(- \infty < s_0 , s_1 < \infty\), \(0< p_0, p_1 < \infty\), \(0 < \theta <1\), and \(1 \leq q \leq \infty\). Here \(B^s_{p,p} (R)\) are special Besov spaces. The assertions are extended to spaces of type \(F^0_{p,q} (R)\).
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    interpolation
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    Besov spaces
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