Operator-valued Bergman inner functions as transfer functions

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چکیده

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Operator-valued Bergman Inner Functions as Transfer Functions

An explicit construction characterizing the operator-valued Bergman inner functions is given for a class of vector-valued standard weighted Bergman spaces in the unit disk. These operator-valued Bergman inner functions act as contractive multipliers from the Hardy space into the associated Bergman space, and they have a natural interpretation as transfer functions for a related class of discret...

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ژورنال

عنوان ژورنال: St. Petersburg Mathematical Journal

سال: 2008

ISSN: 1061-0022

DOI: 10.1090/s1061-0022-08-01013-3