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On some integral properties of multidimensional Hilbert operators - MaRDI portal

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On some integral properties of multidimensional Hilbert operators (Q881077)

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scientific article; zbMATH DE number 5155513
Language Label Description Also known as
English
On some integral properties of multidimensional Hilbert operators
scientific article; zbMATH DE number 5155513

    Statements

    title
    On some integral properties of multidimensional Hilbert operators (English)
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    publication date
    21 May 2007
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    review text
    In the paper some integral properties of multidimensional Hilbert operators have been studied. In particular, analogs of \textit{H. Kober}'s [Bull. Am. Math. Soc. 48, 421--427 (1942; Zbl 0063.03274)] theorem are established for the above mentioned operators.
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    zbMATH Keywords
    Hilbert transform
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    Fourier transform
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    integrability of functions
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    Lebesgue measure
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    Identifiers

    Mathematics Subject Classification ID
    42B20
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    47G10
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    42B08
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    zbMATH DE Number
    5155513
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    OpenAlex ID
    W1966433611
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