Boundedness Criteria and Norm of Some Multilinear Hilbert-Type Operators

Justice S. Bansah; Benoît F. Sehba

doi:10.1155/2017/6829093

Abstract and Applied Analysis (Jan 2017)

Boundedness Criteria and Norm of Some Multilinear Hilbert-Type Operators

Justice S. Bansah,
Benoît F. Sehba

Affiliations

Justice S. Bansah: Department of Mathematics, University of Ghana, P.O. Box LG 62, Legon, Accra, Ghana
Benoît F. Sehba: Department of Mathematics, University of Ghana, P.O. Box LG 62, Legon, Accra, Ghana

DOI: https://doi.org/10.1155/2017/6829093
Journal volume & issue: Vol. 2017

Abstract

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We consider two families of multilinear Hilbert-type operators for which we give exact relations between the parameters so that they are bounded. We also find the exact norm of these operators.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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