Bourgain algebras of the disk, polydisk, and ball algebras

DOI10.1215/S0012-7094-92-06616-6zbMath0806.46061MaRDI QIDQ1196395

Kei-Ji Izuchi

Publication date: 14 December 1992

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

zbMATH Keywords

commutative Banach algebra with an identitydescription of the Bourgain algebra of the polydisk algebras and ball algebrasnonatomic probability measure on the Shilov boundary of a given uniform algebra

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Subalgebras of commutative topological algebras (46J30)

Related Items (3)

Bourgain algebras on the maximal ideal space of \(H^ \infty\) ⋮ Hankel Operators on Bounded Analytic Functions ⋮ Henkin measures, Riesz products and singular sets

Cites Work

• New Banach space properties of the disc algebra and \(H^{\infty}\)
• Spaces of type \(H^\infty+C\)
• A characterization of Douglas subalgebras
• Subalgebras of \(L^\infty\) containing \(H^\infty\)
• Bourgain algebras on the unit disk
• The Dunford-Pettis property for certain planar uniform algebras
• Completely Continuous Hankel Operators on H ∞ and Bourgain Algebras
• The Dunford-Pettis property for the ball-algebras, the polydisc-algebras and the Sobolev spaces
• A Remark on Bourgain Algebras on the Disk
• Bourgain Algebras of Douglas Algebras
• Algebras of functions on the unit circle
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