Boundedness Criteria and Norm of Some Multilinear Hilbert-Type Operators

Boundedness Criteria and Norm of Some Multilinear Hilbert-Type Operators

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.

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Veröffentlicht in:Abstract and Applied Analysis 2017, Vol.2017 (2017), p.1-13-019
Hauptverfasser: Bansah, Justice S., Sehba, Benoît Florent
Format: Artikel
Sprache:eng
Schlagworte:
Criteria
Hilbert space
Inequality
Mappings (Mathematics)
Mathematical research
Norms
Operators
Parameters
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Beschreibung
Zusammenfassung: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2017/6829093