Inria Lille - Nord Europe, Inria Saclay - Ile de France, Centrale 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.
https://hal.inria.fr/inria-00259916 Contributor : Mamadou MboupConnect in order to contact the contributor Submitted on : Friday, February 29, 2008 - 4:53:49 PM Last modification on : Friday, February 4, 2022 - 3:15:15 AM Long-term archiving on: : Thursday, May 20, 2010 - 8:20:16 PM
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⟩