Conditional expectations and the corona problem of ergodic Hardy spaces

DOI10.1016/0022-1236(85)90077-1zbMath0578.46049OpenAlexW1975009223MaRDI QIDQ1066422

Jingbo Xia

Publication date: 1985

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(85)90077-1

zbMATH Keywords

convolutionconditional expectationminimal flowcorona theoremone-parameter groupdisc algebraergodic probability measure of the flow

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Ideals, maximal ideals, boundaries (46J20) Ideals and subalgebras (46H10)

Related Items (7)

Spectral convergence of self-adjoint operators and generalized wave operators ⋮ One sided invertibility of matrices over commutative rings, corona problems, and Toeplitz operators with matrix symbols ⋮ Corona problem and flows ⋮ Flows in Fibers ⋮ The corona theorem and the existence of canonical factorization of triangular AP-matrix functions ⋮ The corona theorem and the canonical factorization of triangular AP matrix functions -- Effective criteria and explicit formulas ⋮ On the corona theorem for almost periodic functions

Cites Work

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• Estimates for the corona problem
• Function algebras and flows. II
• Bounded holomorphic functions and projections
• Localization of the corona problem
• Function algebras and flows. III
• Interpolations by bounded analytic functions and the corona problem
• Generalized Analytic Functions

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