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Tangential Interpolation in Weighted Vector-valued Hp Spaces, with Applications

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Abstract.

In this paper, norm estimates are obtained for the problem of minimal-norm tangential interpolation by vector-valued analytic functions in weighted Hp spaces, expressed in terms of the Carleson constants of related scalar measures. Applications are given to the notion of p-controllability properties of linear semigroup systems and controllability by functions in certain Sobolev spaces.

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Authors and Affiliations

  1. Department of Applied Mathematics, Delft University of Technology, P.O. Box 5031, NL-2600, GA Delft, The Netherlands

    Birgit Jacob

  2. School of Mathematics, University of Leeds, Leeds, LS2 9JT, United Kingdom

    Jonathan R. Partington

  3. Department of Mathematics, University of Glasgow, Glasgow, G12 8QW, United Kingdom

    Sandra Pott

Authors
  1. Birgit Jacob
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  2. Jonathan R. Partington
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  3. Sandra Pott
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Corresponding author

Correspondence to Birgit Jacob.

Additional information

Communicated by Daniel Alpay.

Received: January 18, 2008. Accepted: April 24, 2008.

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Jacob, B., Partington, J.R. & Pott, S. Tangential Interpolation in Weighted Vector-valued Hp Spaces, with Applications. Complex Anal. Oper. Theory 3, 697 (2009). https://doi.org/10.1007/s11785-008-0081-y

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  • DOI: https://doi.org/10.1007/s11785-008-0081-y

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