Some Generalizations of the Bergman Projection Theorem inTubular and Bounded Pseudoconvex Domains

We provide an extension of a classical result about Bergman projection in the unit disk to pseudoconvex domains and tubular domains over symmetric cones. Our proofs in particular are based on some arguments provided earlier in [11] and [12] for a less general unit ball case. Our results complement similar type recent results on Bergman type projections obtained earlier in [1–5] in pseudoconvex domains and in [6–9] in tubular domains. Our Bergman type projection theorems relate mixed norm analytic spaces with different dimensions in tube and pseudoconvex domains.