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arXiv · 0802.4417

A characterization of Schur multipliers between character-automorphic Hardy spaces

Daniel Alpay·Mamadou Mboup
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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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Daniel Alpay, Mamadou Mboup. 2008-02-29. A characterization of Schur multipliers between character-automorphic Hardy spaces. https://arxiv.org/abs/0802.4417

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