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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Mixed-norm generalizations of Bergman spaces and duality
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by Steve Gadbois PDF
Proc. Amer. Math. Soc. 104 (1988), 1171-1180 Request permission

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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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 104 (1988), 1171-1180
  • MSC: Primary 46E15
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0948149-3
  • MathSciNet review: 948149