COMPLEMENTED INVARIANT SUBSPACES IN BERGMAN SPACES

It is shown that the invariant subspace of the Bergman space $A^p$ of the unit disk, generated by either an $A^p$-interpolating sequence or a singular inner function with a single point mass on the unit circle, is complemented in $A^p$.

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Bibliographic Details
Published in:Journal of the London Mathematical Society 2005-04, Vol.71 (2), p.467-480
Main Authors: KORENBLUM, BORIS, ZHU, KEHE
Format: Article
Language:English
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Summary:It is shown that the invariant subspace of the Bergman space $A^p$ of the unit disk, generated by either an $A^p$-interpolating sequence or a singular inner function with a single point mass on the unit circle, is complemented in $A^p$.
ISSN:0024-6107
1469-7750
DOI:10.1112/S0024610704006180