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Real interpolation of a family of spaces of smooth functions - MaRDI portal

Real interpolation of a family of spaces of smooth functions (Q1385970)

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scientific article; zbMATH DE number 1148150
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Real interpolation of a family of spaces of smooth functions
scientific article; zbMATH DE number 1148150

    Statements

    Real interpolation of a family of spaces of smooth functions (English)
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    28 October 1998
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    The solution of some problems which were formulated long ago in the theory of real interpolation is announced. In particular, the authors give a formula for the \(K\)-functional of the pair \((W_{p_0}^{k_0},W_{p_1}^{k_1})\), for distinct \(p\)'s and distinct \(k\)'s, assuming that \(W_{p_0}^{k_0}\) is compactly embedded in \(W_{p_1}^{k_1}\). Other results and formulas are also stated.
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    real interpolation
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    \(K\)-functional
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    smooth functions
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