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Multilinear Hausdorff operators and their best constants - MaRDI portal

Multilinear Hausdorff operators and their best constants (Q1757927)

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scientific article; zbMATH DE number 6102774
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Multilinear Hausdorff operators and their best constants
scientific article; zbMATH DE number 6102774

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    Multilinear Hausdorff operators and their best constants (English)
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    7 November 2012
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    The most general multidimensional Hausdorff operator has been introduced in papers by G. Brown and F. Móricz and by \textit{A. Lerner} and \textit{E. Liflyand} [J. Aust. Math. Soc. 83, No. 1, 79--86 (2007; Zbl 1143.47023)]. Some partial cases are studied in the paper under review. The spaces considered are the Lebesgue spaces and Herz spaces. The main point is sharp constants in certain cases.
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    multilinear Hausdorff operator
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    Herz space
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    sharp bounds
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