On Bounded Analytic Functions in Finitely Connected Domains

DOI10.2307/2000366zbMath0629.32003OpenAlexW4250222585MaRDI QIDQ3766054

Zbigniew Slodkowski

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000366

zbMATH Keywords

Corona theoremanalytic multifunctionsanalytic set-valued functionsfinite connected domainsmeromorphic selections

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Meromorphic functions of several complex variables (32A20) Holomorphic functions of several complex variables (32A10) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items

Projections in the space \(H^{\infty}\) and the corona theorem for subdomains of coverings of finite bordered Riemann surfaces ⋮ Complex Interpolation of Normed and Quasinormed Spaces in Several Dimensions. II. Properties of Harmonic Interpolation ⋮ Polynomial hulls with convex fibers and complex geodesics ⋮ The Corona theorem on the complement of certain square Cantor sets ⋮ Failure of averaging on multiply-connected domains

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