A note on multiplier algebras on reproducing kernel Hilbert spaces

DOI10.1090/S0002-9939-08-09383-0zbMath1156.46025OpenAlexW2073803772MaRDI QIDQ3518241

Tavan T. Trent

Publication date: 7 August 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09383-0

zbMATH Keywords

coronareproducing kernel

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

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A generalized Wolff's Ideal Theorem on certain subalgebras of \(H^{\infty}(\mathbb{D})\) ⋮ The corona theorem for multiplier algebras on weighted Dirichlet spaces

Cites Work

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• Un example de domaine pseudoconvexe ou l'équation \(\overline\partial u=f\) n'admet pas de solution bornée pour \(f\) bornée
• Interpolations by bounded analytic functions and the corona problem

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