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Article
Best Constants for Certain Multilinear Integral Operators
Journal of Inequalities and Applications
  • Árpád Bényi, Western Washington University
  • Tadahiro Oh, University of Massachusetts Amherst
Document Type
Article
Publication Date
1-1-2006
Disciplines
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-Polya.

Subjects - Topical (LCSH)
Multilinear algebra; Integral operators; Linear operators
Genre/Form
articles
Type
Text
Rights
Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.
Creative Commons License
Creative Commons Attribution 4.0 International
Language
English
Format
application/pdf
Citation Information
Árpád Bényi and Tadahiro Oh. "Best Constants for Certain Multilinear Integral Operators" Journal of Inequalities and Applications Vol. 2006 (2006) p. 1 - 12
Available at: http://works.bepress.com/arpad_benyi/2/