Bounded harmonic functions and the Dirichlet problem on the Shilov boundary of \(H^\infty(W)\)

DOI10.1215/KJM/1250521866zbMath0494.30041OpenAlexW1482421655MaRDI QIDQ1169066

Cho-ichiro Matsuoka

Publication date: 1982

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250521866

zbMATH Keywords

Dirichlet problemChoquet boundarymaximal ideal spaceShilov boundaryharmonic measures on relatively compact subdomainsmeasures supported on the Shilov boundary

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Ideal boundary theory for Riemann surfaces (30F25) Spaces of bounded analytic functions of one complex variable (30H05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Ideals, maximal ideals, boundaries (46J20) Capacity and harmonic measure in the complex plane (30C85)

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