What Hilbert spaces can tell us about bounded functions on the bidisk

zbMath1256.32003arXiv0901.0907MaRDI QIDQ3086819

John E. McCarthy, Jim Agler

Publication date: 30 March 2011

Full work available at URL: https://arxiv.org/abs/0901.0907

zbMATH Keywords

bounded analytic functionsHilbert space modelcomplex bidisk

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Functional analysis techniques applied to functions of several complex variables (32A70)

Related Items (4)

Properties of Beurling-type submodules via Agler decompositions ⋮ A uniqueness theorem for bounded analytic functions on the polydisc ⋮ Duality, tangential interpolation, and Töplitz corona problems ⋮ Canonical Agler decompositions and transfer function realizations

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