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A Characterization of Schur Multipliers Between Character-Automorphic Hardy Spaces

Integral Equations and Operator Theory volume 62, pages 455–463 (2008)Cite this article

Abstract.

We give a new characterization of character-automorphic Hardy spaces of order 2 and of their contractive multipliers in terms of de Branges Rovnyak spaces. Keys tools in our arguments are analytic extension and a factorization result for matrix-valued analytic functions due to Leech.

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Authors and Affiliations

  1. Department of Mathematics, Ben-Gurion University of the Negev, POB 653, Beer-Sheva, 84105, Israel

    Daniel Alpay

  2. UFR Math-Info, Université Paris Descartes, 45 rue des Saints-Pères, 75270, Paris Cedex 06, France

    Mamadou Mboup

Authors
  1. Daniel Alpay
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  2. Mamadou Mboup
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Correspondence to Daniel Alpay.

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Alpay, D., Mboup, M. A Characterization of Schur Multipliers Between Character-Automorphic Hardy Spaces. Integr. equ. oper. theory 62, 455–463 (2008). https://doi.org/10.1007/s00020-008-1635-0

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  • DOI: https://doi.org/10.1007/s00020-008-1635-0

Mathematics Subject Classification (2000).

  • Primary 30F35, 46E22
  • Secondary 30B40

Keywords.

  • Character-automorphic functions
  • Hardy spaces
  • de Branges Rovnyak spaces
  • Schur multipliers