Admissibility of majorants in certain model subspaces: Necessary conditions

DOI10.1090/S1061-0022-09-01059-0zbMath1206.30072OpenAlexW1986557053MaRDI QIDQ3079261

Yurii Belov

Publication date: 2 March 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-09-01059-0

zbMATH Keywords

Blaschke productmodel subspaceBeurling--Malliavin theoremadmissible majorant

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Spaces of bounded analytic functions of one complex variable (30H05) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Cites Work

• Moduli and arguments of analytic functions from subspaces in \(H^ p\) that are invariant for the backward shift operator
• Admissible majorants for model subspaces, and arguments of inner functions
• Polynomials in the de Branges spaces of entire functions
• Admissible Majorants for Model Subspaces of H², Part II: Fast Winding of the Generating Inner Function
• Majorants of meromophic functions with fixed poles
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