Bounded Analytic Functions on Domains of Infinite Connectivity

DOI10.2307/1995280zbMath0188.45002OpenAlexW4234727010MaRDI QIDQ5582631

Lawrence Zalcman

Publication date: 1969

Full work available at URL: https://doi.org/10.2307/1995280

zbMATH Keywords

functional analysis

Mathematics Subject Classification ID

Functional analysis (46-XX)

Related Items

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Cites Work

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• The space of bounded analytic functions on a region
• Extensions of positive weak\(^ *\)-continuous functionals
• The maximal ideals of certain function algebras
• Rational functions \(H^\infty\) and \(H^ p\) on infinitely connected domains
• Bounded analytic functions and Gleason parts
• Localization of the corona problem
• Interpolations by bounded analytic functions and the corona problem
• Measures Orthogonal to Algebras and Sets of Antisymmetry
• A Theorem on Maximum Modulus
• Essential boundary points
• Generalized Interpolation in H ∞
• Analytic capacity of sets, joint nontriviality of various classes of analytic functions and the Schwarz lemma in arbitrary domains
• Extreme Points of Bounded Analytic Functions of Infinitely Connected Regions
• On Some Hypo-Dirichlet Algebras of Analytic Functions
• On Schwarz's Lemma and Inner Functions
• Constructive Techniques in Rational Approximation
• The corona conjecture for a class of infinitely connected domains
• Distinguished Homomorphisms and Fiber Algebras
• Past and Future
• Some Theorems on Bounded Analytic Functions
• Analytic Functions of Class H p
• Bounded approximation by rational functions