Comparison of measures on the maximal ideal space of \(H^{\infty}(W)\) with applications to the Dirichlet problem
DOI10.1215/KJM/1250521668zbMath0535.46030OpenAlexW1544335861MaRDI QIDQ791112
Publication date: 1983
Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/kjm/1250521668
maximal ideal spaceboundary measuresChoquet order relationcommutative Banach algebra of bounded analytic functionsDirichlet problem on the Shilov boundaryorder complete Banach lattice of real-valued bounded harmonic functions
Banach lattices (46B42) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Ideals, maximal ideals, boundaries (46J20) Convex sets in topological linear spaces; Choquet theory (46A55) Algebras of holomorphic functions of several complex variables (32A38)
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