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Atomic decomposition and Weak Factorization for Bergman-Orlicz spaces
David Bekolle, Aline Bonami, Edgar Tchoundja
For the unit ball of , we consider Bergman-Orlicz spaces of holomorphic functions in , which are generalizations of classical Bergman…
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…
Atomic decomposition and interpolation via the complex method for mixed norm Bergman spaces on tube domains over symmetric cones
David Bekolle, Jocelyn Gonessa, Cyrille Nana
Starting from an adapted Whitney decomposition of tube domains in $\C^n$ over irreducible symmetric cones of we prove an atomic decomposition theorem in mixed norm weighted…
Bergman-Lorentz spaces on tube domains over symmetric cones
David Bekolle, Jocelyn, Cyrille Nana
We study Bergman-Lorentz spaces on tube domains over symmetric cones, i.e. spaces of holomorphic functions which belong to Lorentz spaces We establish boundedness and su…
Lebesgue mixed norm estimates for Bergman projectors: from tube domains over homogeneous cones to homogeneous Siegel domains of type II
David Bekolle, Jocelyn Gonessa, Cyrille Nana
We present a transference principle of Lebesgue mixed norm estimates for Bergman projectors from tube domains over homogeneous cones to homogeneous Siegel domains of type II associ…
Analytic Besov spaces and Hardy-type inequalities in tube domains over symmetric cones
D. Békollé, A. Bonami, G. Garrigós +2
We give various equivalent formulations to the (partially) open problem about -boundedness of Bergman projections in tubes over cones. Namely, we show that such boundedness is…