Embedding relations and boundedness of the multifunctional operators in tube domains over symmetric cones

Mathematics – Complex Variables

Scientific paper

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16 pages

Scientific paper

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.

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