One component bounded functions

DOI10.1007/s40315-023-00477-5arXiv2206.01985OpenAlexW4321617828MaRDI QIDQ6201003

Artur Nicolau, Carlo Bellavita

Publication date: 25 March 2024

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.01985

zbMATH Keywords

bounded analytic functionsde-Branges-Rovnyak spacesone component analytic functions

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Function theory on the disc (30J99) de Branges-Rovnyak spaces (30H45)

Cites Work

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• Duality theorems for coinvariant subspaces of \(H^1\)
• One-component inner functions
• The Feichtinger conjecture for reproducing kernels in model subspaces
• Bernstein-type inequalities for shift-coinvariant subspaces and their applications to Carleson embeddings
• Symbols of truncated Toeplitz operators
• A simple proof of a theorem of Vol'berg and Treil' on the embedding of coinvariant subspaces of the shift operator
• Integral representation of the \(n\)-th derivative in de Branges-Rovnyak spaces and the norm convergence of its reproducing kernel
• Bounded functions in the little Bloch space
• Imbedding theorems for the invariant subspaces of the backward shift operator
• Carleson measures for functions orthogonal to invariant subspaces
• One-Component Inner Functions II
• Weighted norm inequalities for de Branges-Rovnyak spaces and their applications
• Remarks on one-component inner functions
• A characterization of one‐component inner functions
• A Primer on the Dirichlet Space
• The Theory ofH(b) Spaces

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