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Interpolation in Sub-Bergman Spaces

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Book cover Advances in Structured Operator Theory and Related Areas

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 237))

Abstract

A general interpolation problem with operator argument is studied for functions f from sub-Bergman spaces associated with an analytic function S mapping the open unit disk ⅅ into the closed unit disk.

Mathematics Subject Classification (2010). 30E05, 47A57, 46E22.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Virginia Tech, Blacksburg, VA, 24061-0123, USA

    Joseph A. Ball

  2. Department of Mathematics, The College of William and Mary, Williamsburg, VA, 23187-8795, USA

    Vladimir Bolotnikov

Authors
  1. Joseph A. Ball
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  2. Vladimir Bolotnikov
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Corresponding author

Correspondence to Joseph A. Ball .

Editor information

Editors and Affiliations

  1. Computer Sciences, Free University Amsterdam, Amsterdam, Noord-Holland, The Netherlands

    Marinus A. Kaashoek

  2. Department of Mathematics, College of William and Mary, Williamsburg, Virginia, USA

    Leiba Rodman

  3. Mathematics Department, Drexel University, Philadelphia, Pennsylvania, USA

    Hugo J. Woerdeman

Additional information

Dedicated to Leonia Lerer, a long-time friend and colleague

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Ball, J.A., Bolotnikov, V. (2013). Interpolation in Sub-Bergman Spaces. In: Kaashoek, M., Rodman, L., Woerdeman, H. (eds) Advances in Structured Operator Theory and Related Areas. Operator Theory: Advances and Applications, vol 237. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0639-8_6

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