A characterization of Schur multipliers between character-automorphic Hardy spaces

Details A characterization of Schur multipliers between character-automorphic Hardy spaces A characterization of Schur multipliers between character-automorphic Hardy spaces

2008-02-29

arxiv.org/abs/0802.4417v1

Integral Equations and Operator Theory (2008) 12

Mathematics

Complex Variables

Scientific paper

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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