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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Mixed-norm generalizations of Bergman spaces and duality

Author: Steve Gadbois
Journal: Proc. Amer. Math. Soc. 104 (1988), 1171-1180
MSC: Primary 46E15
MathSciNet review: 948149
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Abstract: Conditions sufficient for boundedness of the Bergman projection on certain "mixed-norm" spaces of functions on the unit ball of $ {{\mathbf{C}}^N}$ are given, and this is used to identify the dual space of such mixed-norm spaces. Several representation theorems that follow from the duality are also given.

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PII: S 0002-9939(1988)0948149-3
Keywords: Mixed-norm, Bergman space, dual
Article copyright: © Copyright 1988 American Mathematical Society