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Eigenvalues and Spectra of Composition Operators Acting on Weighted Bergman Spaces of Infinite Order on the Unit Polydisk

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Abstract

We give the spectra of bounded composition operators acting on the weighted Bergman spaces of infinite order on the unit polydisk defined for a weight v which is radial in each component, when the symbol of the operator has a fixed point in the unit polydisk.

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Authors and Affiliations

  1. Mathematical Institute, University of Paderborn, D-33095, Paderborn, Germany

    Elke Wolf

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  1. Elke Wolf
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Correspondence to Elke Wolf.

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To Klaus D. Bierstedt

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Wolf, E. Eigenvalues and Spectra of Composition Operators Acting on Weighted Bergman Spaces of Infinite Order on the Unit Polydisk. Mediterr. J. Math. 7, 565–572 (2010). https://doi.org/10.1007/s00009-010-0060-1

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  • DOI: https://doi.org/10.1007/s00009-010-0060-1

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