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math.CA2016★ 3 cited
Derivatives characterization of Bergman-Orlicz spaces and applications
Benoît F. Sehba
It is well known that a function is in a Bergman space of the unit ball if and only if it satisfies some Hardy-type inequalities. We extend this fact to Bergman-Orlicz spaces. As a…
math.CA2016
Boundeness of a family of Hilbert-type operators and of its Bergman-type analogue
Justice S. Bansah, Benoit F. Sehba
In this note, we frst 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…
math.CA2016
The Duren-Carleson theorem in tube domains over symmetric cones
David Békollé, Benoît F. Sehba, Edgar L. Tchoundja
In the setting of tube domains over symmetric cones, , we study the characterization of the positive Borel measures for which the Hardy space is continuously embedde…