The corona problem on finitely sheeted covering surfaces

DOI10.1017/S002776300002064XzbMath0565.30029OpenAlexW1502047906MaRDI QIDQ3679466

Mitsuru Nakai

Publication date: 1983

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s002776300002064x

zbMATH Keywords

maximal ideal spaceuniform algebraGelfand transformbounded analytic functionscorona problemcovering Riemann surface

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Riemann surfaces (30F99)

Related Items

Ideals of bounded holomorphic functions on simple n-sheeted discs ⋮ A short proof of Hara and Nakai’s theorem ⋮ Corona Problem for H ∞ on Riemann Surfaces ⋮ Corona theorem with bounds for finitely sheeted disks

Cites Work

• Corona problem for Riemann surfaces of Parreau-Widom type
• Wolff's proof of the corona theorem
• Bounded analytic functions on a class of open Riemann surfaces
• Bounded analytic functions on unbounded covering surfaces
• Localization of the corona problem
• The maximum principle for multiple-valued analytic functions
• \({\mathcal H}^p\) sections of vector bundles over Riemann surfaces
• Interpolations by bounded analytic functions and the corona problem
• Open Riemann surfaces and extremal problems on compact subregions
• Two theorems concerning functions holomorphic on multiply connected domains
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