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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Invariant subspaces with finite codimension in Bergman spaces


Author: Alexandru Aleman
Journal: Trans. Amer. Math. Soc. 330 (1992), 531-544
MSC: Primary 47B38; Secondary 46E15, 47A15
MathSciNet review: 1028755
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Abstract: For an arbitrary bounded domain in $ \mathbb{C}$ there are described those finite codimensional subspaces of the Bergman space that are invariant under multiplication by $ z$.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1992-1028755-6
PII: S 0002-9947(1992)1028755-6
Article copyright: © Copyright 1992 American Mathematical Society