Carleson Embeddings and Two Operators on Bergman Spaces of Tube Domains over Symmetric Cones

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2015-01

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Integral Equations and Operator Theory

Abstract

We prove Carleson embeddings for Bergman spaces of tube domains over symmetric cones, we apply them to characterize symbols of bounded Cesàro-type operators from weighted Bergman spaces to weighted Besov spaces. We also obtain Schatten class criteria of Toeplitz operators and Cesàro-type operators on weighted Hilbert-Bergman spaces.

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Bergman space, Besov space, Cesàro-type operator, Toeplitz operator, Schatten class, symmetric cone

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