Majorization in de Branges spaces. III. Division by Blaschke products

DOI10.1090/S1061-0022-2010-01122-1zbMath1213.46023MaRDI QIDQ3061254

Anton D. Baranov, Harald Woracek

Publication date: 14 December 2010

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

zbMATH Keywords

subharmonic functionBlaschke productmajorantde Branges subspace

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Spaces and algebras of analytic functions of one complex variable (30H99) Blaschke products (30J10) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)

Related Items

Robust contracting in general contract spaces ⋮ Applications of de Branges Spaces of Vector-Valued Functions ⋮ Hilbert and Thompson geometries isometric to infinite-dimensional Banach spaces

Cites Work

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• Majorization in de Branges spaces. I: Representability of subspaces
• Polynomials in the de Branges spaces of entire functions
• On Fourier transforms of measures with compact support
• Majorization in de Branges spaces. II: Banach spaces generated by majorants
• Some Hilbert Spaces of Entire Functions
• Some Hilbert Spaces of Entire Functions
• Some Hilbert Spaces of Entire Functions. II
• Finite-dimensional de Branges Subspaces Generated by Majorants
• Subspaces of de Branges Spaces Generated by Majorants
• Some Hilbert Spaces of Entire Functions. IV
• Admissible Majorants for Model Subspaces of H², Part II: Fast Winding of the Generating Inner Function
• Some Hilbert Spaces of Entire Functions. III

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