On the Algebra of Bounded Holomorphic Martingales

DOI10.2307/2045915zbMath0605.46042OpenAlexW4251898947MaRDI QIDQ3743858

Hitoshi Arai

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2045915

zbMATH Keywords

factorization theoremextreme points of the unit ballalgebra of bounded holomorphic martingalesweak* Dirichlet algebra

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Martingales and classical analysis (60G46) Subalgebras of commutative topological algebras (46J30)

Related Items (3)

Complex valued multiparameter stochastic integrals ⋮ Some typical ideal in a uniform algebra ⋮ Measures of Carleson Type on Filtrated Probability Spaces and the Corona Theorem on Complex Brownian Spaces

Cites Work

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• An invariant subspace theorem in the abstract Hardy algebra theory
• The algebra of bounded holomorphic martingales
• Superalgebras of weak-* Dirichlet algebras
• Kolmogorov's inequalities in the abstract Hardy space theory
• Extended weak-Dirichlet algebras
• The Helson-Szegoe theorem and A//p-functions for Brownian motion and several variables
• Theory of abstract Hardy spaces and the universal Hardy class
• Minimal Superalgebras of Weak- ∗ Dirichlet Algebras
• Maximal Weak- ∗ Dirichlet Algebras

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