Interpolation of classical Lorentz spaces (Q1417878)

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scientific article; zbMATH DE number 2021988
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Interpolation of classical Lorentz spaces
scientific article; zbMATH DE number 2021988

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    Interpolation of classical Lorentz spaces (English)
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    6 January 2004
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    The aim of this paper is to give a description of the interpolation spaces \((\Lambda^{p_0}(\varphi_0), \Lambda^{p_1}(\varphi_1))_{\theta, q}\) using the definition of the Lorentz spaces involved in terms of the distribution function. Their main tool is to use the divisibility property of certain operators, with respect to the cone of decreasing functions, to identify the corresponding \(K\)-functional.
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    interpolation theory
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    Lorentz spaces
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