\(H^2(\mu)\) spaces and bounded point evaluations

DOI10.2140/PJM.1979.80.279zbMath0405.46043OpenAlexW2057958903MaRDI QIDQ1257195

Tavan T. Trent

Publication date: 1979

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1979.80.279

zbMATH Keywords

SpectrumHardy SpaceBorel MeasureAnalytic ExtensionsBounded Point EvaluationsClosed Unit DiscH2-SpacePlanar Measure

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items (12)

The interior of bounded point evaluations for rationally cyclic operators ⋮ Approximation in the mean by rational functions ⋮ The commutant of rationally cyclic subnormal operators and rational approximation ⋮ Some subnormal operators not in \({\mathbb{A}}_ 2\) ⋮ Subscalarity for extension of totally polynomially posinormal operators ⋮ Evaluation points for cyclic operators with Bishop's property (\(\beta\)) ⋮ Quasisimilar Operators in the Commutant of a Cyclic Subnormal Operator ⋮ Bounded point evaluations for cyclic operators and local spectra ⋮ A Structure Theorem for the Commutant of a Class of Cyclic Subnormal Operators ⋮ Mean-Square Approximation by Polynomials on the Unit Disk ⋮ Bounded point evaluation for a finitely multicyclic commuting tuple of operators ⋮ The uniform algebra associated with a cyclic subnormal operator

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