Blaschke products and nonideal ideals in higher order Lipschitz algebras

DOI10.1090/S1061-0022-2010-01127-0zbMath1218.30154arXiv1004.1444MaRDI QIDQ3061259

Konstantin M. Dyakonov

Publication date: 14 December 2010

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

Full work available at URL: https://arxiv.org/abs/1004.1444

zbMATH Keywords

idealsLipschitz spacesBlaschke productsinner functions

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Ideals, maximal ideals, boundaries (46J20) Hardy spaces (30H10) Blaschke products (30J10)

Related Items (5)

Factorization and non-factorization theorems for pseudocontinuable functions ⋮ Wronskians and deep zeros of holomorphic functions ⋮ Smooth Analytic Functions and Model Subspaces ⋮ Inner factors of analytic functions of variable smoothness in the closed disk ⋮ Nevanlinna factorization in weighted classes of analytic functions of variable smoothness

Cites Work

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• Self-improving behaviour of inner functions as multipliers
• Analytic functions smooth up to the boundary
• The pseudoanalytic extension
• Equivalent norms on Lipschitz-type spaces of holomorphic functions
• Holomorphic functions and quasiconformal mappings with smooth moduli
• Sets of uniqueness for functions regular in the unit circle
• FREE INTERPOLATION IN THE SPACES $ C^A_{r,\omega}$
• Division and Multiplication by Inner Functions and Embedding Theorems for Star-Invariant Subspaces
• Multiplication by Blaschke products and stability of ideals in Lipschitz algebras.

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