Duality and differential operators on the Bergman spaces of bounded symmetric domains (Q1187770)

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scientific article; zbMATH DE number 39680
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Duality and differential operators on the Bergman spaces of bounded symmetric domains
scientific article; zbMATH DE number 39680

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    Duality and differential operators on the Bergman spaces of bounded symmetric domains (English)
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    23 July 1992
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    The author investigates some differential operators defined on an irreducible bounded symmetric domain \(D\) of tube type in \(\mathbb{C}\), and uses them to describe the dual and predual of the Bergman space \(L^ 1_ a(D)\). The main results are expressed by theorems \(A\) and \(B\). Their proofs are based on other 15 lemmas, theorems and corollaries.
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    differential operators
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    symmetric domain
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    tube type
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    dual
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    predual
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    Bergman space
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