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A trace formula for multiplication operators on invariant subspaces of the Bergman space

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Abstract

Supposef is a bounded analytic function in the unit disk

andM f is the multiplication operator on an invariant subspaceI of the Bergman space. We show that

wheren=dim(I⊝zI).

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Authors and Affiliations

  1. Department of Mathematics and Statistics, State University of New York at Albany, 12222, Albany, NY, USA

    Kehe Zhu

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  1. Kehe Zhu
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Zhu, K. A trace formula for multiplication operators on invariant subspaces of the Bergman space. Integr equ oper theory 40, 244–255 (2001). https://doi.org/10.1007/BF01301468

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  • DOI: https://doi.org/10.1007/BF01301468

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