Concrete examples of \(\mathcal{H}(b)\) spaces

DOI10.1007/s40315-015-0144-9zbMath1346.30021arXiv1405.2323OpenAlexW2188051253MaRDI QIDQ291939

Andreas Hartmann, Emmanuel Fricain, William T. Ross

Publication date: 10 June 2016

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

Full work available at URL: https://arxiv.org/abs/1405.2323

zbMATH Keywords

outer functionsbounded analytic functionsHilbert spaces with reproducing kernelde Branges-Rovnyak spaces

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Spaces and algebras of analytic functions of one complex variable (30H99) Inner functions of one complex variable (30J05)

Related Items

The Smirnov class for de Branges-Rovnyak spaces, Higher-order de Branges-Rovnyak and sub-Bergman spaces, Sharp estimates of the solutions to Bézout's polynomial equation and a corona theorem, On kernels of Toeplitz operators, Examples of de Branges–Rovnyak spaces generated by nonextreme functions, Range Spaces of Co-analytic Toeplitz Operators, Higher order local Dirichlet integrals and de Branges-Rovnyak spaces, The orthogonal complement of $\mathcal{M}(a)$ in $\mathcal{H}(b)$

Cites Work

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• Direct and reverse Carleson measures for $\mathscr{H}(b)$ spaces
• Bounded Analytic Functions