Embedding Relations and Boundedness of the Multifunctional Operators in Tube Domains Over Symmetric Cones

Miloš Arsenović, Romi F. Shamoyan

We obtain a new general sufficient condition for the continuity of the Bergman projection in tube domains over symmetric cones using multifunctional embeddings. We also obtain some sharp embedding relations between the generalized Hilbert-Hardy spaces and the mixed-norm Bergman spaces in this setting.