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COMPLEMENTED INVARIANT SUBSPACES IN BERGMAN SPACES

Published online by Cambridge University Press:  06 April 2005

BORIS KORENBLUM  and
KEHE ZHU
BORIS KORENBLUM
Affiliation:
Department of Mathematics, State University of New York, Albany, NY 12222, USAkzhu@math.albany.edu, borisko@math.albany.edu
KEHE ZHU
Affiliation:
Department of Mathematics, State University of New York, Albany, NY 12222, USAkzhu@math.albany.edu, borisko@math.albany.edu
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Abstract

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 $A^p$.

Keywords

47A1530D55 (primary)30D5046E20 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 71 , Issue 2 , April 2005 , pp. 467 - 480
Copyright
The London Mathematical Society 2005

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