Three classification results in the theory of weighted Hardy spaces on the ball

DOI10.1007/s11785-021-01114-6zbMath1477.46033arXiv2010.03540OpenAlexW3092002980MaRDI QIDQ2030068

Danny Ofek, Gilad Sofer

Publication date: 4 June 2021

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.03540

zbMATH Keywords

multiplier algebrasweighted Hardy spaceDrury-Arveson spaceHilbert function spaces

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Cites Work

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• The isomorphism problem for some universal operator algebras
• Topological isomorphisms for some universal operator algebras
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• A Hilbert space approach to bounded analytic extension in the ball
• Complex hyperbolic geometry and Hilbert spaces with complete Pick kernels
• On the isomorphism question for complete Pick multiplier algebras
• Multipliers of embedded discs
• An Introduction to the Theory of Reproducing Kernel Hilbert Spaces
• On the Isomorphism Problem for Multiplier Algebras of Nevanlinna-Pick Spaces
• The Isomorphism Problem for Complete Pick Algebras: A Survey
• Operator algebras for analytic varieties

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