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A characterization of Schur multipliers between character-automorphic Hardy spaces

Daniel Alpay 1 Mamadou Mboup 2, 3
1 Department of Mathematics [Be'er Sheva]
2 UPD5 Mathématiques Informatique - Université Paris Descartes - UFR de Mathématiques et Informatique
3 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Ecole Centrale de Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
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.
Keywords : Character-automorphiuc functions Hardy spaces de Branges Rovnyak spaces Schur multipliers
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https://hal.inria.fr/inria-00259916
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Submitted on : Friday, February 29, 2008 - 4:53:49 PM
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Daniel Alpay, Mamadou Mboup. A characterization of Schur multipliers between character-automorphic Hardy spaces. Integral Equations and Operator Theory, Springer Verlag, 2008, 62, pp.455-463. ⟨10.1007/s00020-008-1635-0⟩. ⟨inria-00259916⟩

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