Boundedness of a family of Hilbert-type operators and its Bergman-type analogue

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dc.contributor.authorBansah, J.S
dc.contributor.authorSehba, B.F.
dc.date.accessioned2018-09-04T15:59:49Z
dc.date.available2018-09-04T15:59:49Z
dc.date.issued2017-02
dc.description.abstractIn this paper, we first consider boundedness properties of a family of operators generalizing the Hilbert operator in the upper triangle case. In the diagonal case, we give the exact norm of these operators under some restrictions on the parameters. Second, we consider boundedness properties of a family of positive Bergman-type operators of the upper-half plane. We give necessary and sufficient conditions on the parameters under which these operators are bounded in the upper triangle case.en_US
dc.identifier.citationBansah, Justice S.; Sehba, Benoît F. Boundedness of a family of Hilbert-type operators and its Bergman-type analogue. Illinois J. Math. 59 (2015), no. 4, 949--977. https://projecteuclid.org/euclid.ijm/1488186016en_US
dc.identifier.otherVolume 59, Number 4 (2015), 949-977.
dc.identifier.otherhttps://projecteuclid.org/euclid.ijm/1488186016
dc.identifier.urihttp://ugspace.ug.edu.gh/handle/123456789/23952
dc.language.isoenen_US
dc.publisherIllinois Journal of Mathematicsen_US
dc.subjectpositive Bergman-typeen_US
dc.subjectboundedness propertiesen_US
dc.subjectHilbert-type operatorsen_US
dc.subjectupper-half planeen_US
dc.subjectupper triangle caseen_US
dc.titleBoundedness of a family of Hilbert-type operators and its Bergman-type analogueen_US
dc.typeArticleen_US

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