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Schwarz-Pick Inequalities for the Schur-Agler Class on the Polydisk and Unit Ball

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Abstract

The notion of a unitary realization is used to estimate derivatives of arbitrary order of functions in the Schur-Agler class on the polydisk and unit ball.

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Authors and Affiliations

  1. Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK

    J. Milne Anderson

  2. Merz Court, School of Mathematics and Statistics, University of Newcastle upon Tyne, Newcastle upon Tyne, NE1 7RU, UK

    Michael A. Dritschel

  3. Department of Mathematics, University of Virginia, P. O. Box 400137, Charlottesville, VA, 22904, USA

    James Rovnyak

Authors
  1. J. Milne Anderson
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  2. Michael A. Dritschel
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  3. James Rovnyak
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Correspondence to J. Milne Anderson.

Additional information

J. Milne Anderson acknowledges the support of the Leverhulme Trust. References

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Anderson, J.M., Dritschel, M.A. & Rovnyak, J. Schwarz-Pick Inequalities for the Schur-Agler Class on the Polydisk and Unit Ball. Comput. Methods Funct. Theory 8, 339–361 (2008). https://doi.org/10.1007/BF03321692

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  • DOI: https://doi.org/10.1007/BF03321692

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