Abstract
Let V be a pointed convex cone in IR n having vertex at the origin. Denote by T v = IR n + iV the tube domain over V, and denote by A ∈(T v ) the Bergman space on T v , i.e., the subspace of. L 2 (T v ) consisting of all functions analytic in T V . Studying the structure of the Bergman space, we obtain several connections between the Bergman and Hardy spaces, as well as between the corresponding Bergman and Szego projections.
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