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Transferring subnormality of adjoint composition operators

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Abstract

For φ an analytic map of the unit disk into itself, the subnormality ofC *φ on the Hardy space implies its subnormality on the Bergman space.

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Authors and Affiliations

  1. Department of Mathematics, Purdue University, 47907, West Lafayette, Indiana, USA

    Carl C. Cowen

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  1. Carl C. Cowen
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Additional information

Supported in part by National Science Foundation Grant DMS 8910140.

I would like to thank Tom Kriete for his helpful discussions and suggestions in connection with this paper.

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Cowen, C.C. Transferring subnormality of adjoint composition operators. Integr equ oper theory 15, 167–171 (1992). https://doi.org/10.1007/BF01193772

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  • DOI: https://doi.org/10.1007/BF01193772

MSC 1991

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