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Best constants for certain multilinear integral operators

Journal of Inequalities and Applications volume 2006, Article number: 28582 (2006) Cite this article

Abstract

We provide explicit formulas in terms of the special function gamma for the best constants in nontensorial multilinear extensions of some classical integral inequalities due to Hilbert, Hardy, and Hardy-Littlewood-Pólya.

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Authors and Affiliations

  1. Department of Mathematics, Western Washington University, 516 High Street, Bellingham, WA, 98225-9063, USA

    Árpád Bényi

  2. Department of Mathematics and Statistics, Lederle GRT, University of Massachusetts, Amherst, MA, 01003-9305, USA

    Choonghong Tadahiro Oh

Authors
  1. Árpád Bényi
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  2. Choonghong Tadahiro Oh
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Correspondence to Árpád Bényi.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Bényi, Á., Oh, C.T. Best constants for certain multilinear integral operators. J Inequal Appl 2006, 28582 (2006). https://doi.org/10.1155/JIA/2006/28582

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  • DOI: https://doi.org/10.1155/JIA/2006/28582

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