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math.CV2017
A duality theorem for certain fock spaces
Jocelyn Gonessa
We characterise functions for the dual spaces of entire functions f such that fe^{-ϕ}\in L^p(\C^n,ρ^{-2}dA), 0<p\leq 1, where ϕis a subharmonic weight and ρ^{-2} is a positive func…
math.CA2017
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…
math.CA2017★ 3 cited
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…