Open Access

Best constants for certain multilinear integral operators

Journal of Inequalities and Applications20062006:28582

DOI: 10.1155/JIA/2006/28582

Received: 7 December 2004

Accepted: 27 March 2005

Published: 28 February 2006


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.


Authors’ Affiliations

Department of Mathematics, Western Washington University
Department of Mathematics and Statistics, Lederle GRT, University of Massachusetts


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© Bényi and Oh 2006

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