Interpolation of several multiparametric approximation spaces (Q1885445)

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scientific article; zbMATH DE number 2111899
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Interpolation of several multiparametric approximation spaces
scientific article; zbMATH DE number 2111899

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    Interpolation of several multiparametric approximation spaces (English)
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    28 October 2004
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    The main objective of the paper is a general interpolation theorem for a finite family of approximation spaces determined by multiparametric approximation families. Typical examples of such spaces are ``mixed'' \(L_p\)-spaces with \(p=(p_1,\dots,p_d)\), anisotropic Sobolev and Besov spaces and spaces defined by a ``dominated'' set of mixed derivatives or differences.
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    interpolation of linear operators
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    anisotropic Besov space
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