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In this note, we frst consider boundedness properties of a family ofoperators generalizing the Hilbert operator in the upper triangle case. In thediagonal case, we give the exact norm of these operators under somerestrictions on the parameters. We secondly consider boundedness properties ofa family of positive Bergman-type operators of the upper-half plane. We givenecessary and sufficient conditions on the parameters under which theseoperators are bounded in the upper triangle case.

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