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Some Carleson measures for the Hilbert-Hardy space of tube domains over symmetric cones
David Békollé, Benoît F. Sehba
In this note, we obtain a full characterization of radial Carleson measures for the Hilbert-Hardy space on tube domains over symmetric cones. For large derivatives, we also obtain…
Off-diagonal estimates of some Bergman-type operators on tube domains over symmetric cones
Cyrille Nana, Benoît F. Sehba
We obtain some necessary and sufficient conditions for the boundedness of a family of positive operators defined on symmetric cones, we then deduce off-diagonal boundedness of asso…
Weighted boundedness of maximal functions and fractional Bergman operators
Benoît F. Sehba
The aim of this paper is to study two-weight norm inequalities for fractional maximal functions and fractional Bergman operator defined on the upper-half space. Namely, we characte…
Maximal functions and measures on the upper-half plane
Benoît F. Sehba
We study weighted boundedness of Hardy-Littlewood-type maximal function involving Orlicz functions. We also obtain some sufficient conditions for the weighted boundedness of the Ha…