On Bergman type projections in bounded strongly pseudoconvex domains and tubular domains over symmetric cones

In this paper we extend some previously known results in the unit ball and in the unit disk on Bergman projections in bounded strongly pseudoconvex domains and in tubular domains over symmetric cones. It should be also added that on the other hand all our new results are also related with analytic spaces in product domains. Below first we give some definitions and basic lemmas and facts on bounded strongly pseudoconvex domains and then in tubular domains over symmetric cones.