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Extrapolation theorem on \(L^p\) spaces over infinite measure space: An approach \(p\searrow p_0\) - MaRDI portal

Extrapolation theorem on \(L^p\) spaces over infinite measure space: An approach \(p\searrow p_0\) (Q1366580)

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scientific article; zbMATH DE number 1060655
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Extrapolation theorem on \(L^p\) spaces over infinite measure space: An approach \(p\searrow p_0\)
scientific article; zbMATH DE number 1060655

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    Extrapolation theorem on \(L^p\) spaces over infinite measure space: An approach \(p\searrow p_0\) (English)
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    15 September 1997
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    After S. Yano's classical work, several extrapolation theorems on \(L^p\) spaces have been proved to approach to the ``singular'' spaces, \(L^1\) and \(L^\infty\). We sometimes find such ``singularity'' on \(L^{p_0}\), \(1<p_0<\infty\). In this paper, we prove some extrapolation theorems in the case \(p\searrow p_0\).
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    singular spaces
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    extrapolation theorems
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