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

Published 8 Sep 2011 in math.CV | (1109.1737v1)

Abstract: 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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