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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…
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…