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A multidimensional version of the Carlson inequality - MaRDI portal

A multidimensional version of the Carlson inequality (Q762626)

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scientific article; zbMATH DE number 3889835
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A multidimensional version of the Carlson inequality
scientific article; zbMATH DE number 3889835

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    A multidimensional version of the Carlson inequality (English)
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    1984
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    The authors give a multidimensional version of the Levin generalization of the Carlson integral inequality. The one-dimensional version was used by J. Peetre in connection with the theory of interpolation spaces. The authors use their result (which involves \(L^ p\) spaces with mixed norms) in connection with the multi-dimensional Mellin transform.
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    Levin generalization of the Carlson integral inequality
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    \(L^ p\) spaces with mixed norms
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    multi-dimensional Mellin transform
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