On the extension of bounded holomorphic maps from Gleason parts of the maximal ideal space of \(H^\infty \)

DOI10.4153/S0008439524000018zbMATH Open1548.30169MaRDI QIDQ6618680

Alexander Brudnyi

Publication date: 15 October 2024

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

maximal ideal spacebounded holomorphic functionOka manifoldGleason part

Mathematics Subject Classification ID

Ideals, maximal ideals, boundaries (46J20) Algebras of analytic functions of one complex variable (30H50)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Banach-valued holomorphic functions on the maximal ideal space of \(H ^{\infty }\)
• Gleason parts and COP
• Several complex variables. IV. Algebraic aspects of complex analysis. Transl. from the Russian by J. Leiterer and J. Nunemacher
• Interpolating sequences and the Shilov boundary of \(H^\infty(\Delta)\)
• Čech cohomology and covering dimension for the \(H^ \infty\) maximal ideal space
• Complements of Runge domains and holomorphic hulls
• Bounded analytic functions and Gleason parts
• Interpolations by bounded analytic functions and the corona problem
• Some homotopy properties of topological groups and homogeneous spaces
• \(L^\infty\) Estimates for the Banach-valued \(\bar{\partial}\)-problem in a disk
• Stein Manifolds and Holomorphic Mappings
• Homeomorphic Analytic Maps into the Maximal Ideal Space of H^∞
• On the analytic structure of the $H^\infty$ maximal ideal space
• DENSE STABLE RANK AND RUNGE-TYPE APPROXIMATION THEOREMS FOR MAPS

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