scientific article

DOI10.1512/iumj.1984.33.33039zbMath0584.46019OpenAlexW4241159980MaRDI QIDQ3709290

C.-E. Sundberg

Publication date: 1984

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.1984.33.33039

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zbMATH Keywords

Bloch functionCarleson measuresspace BMOA\(H^ 1\)-BMO dualityanalytic Poisson extensionapproximating BMO- (resp. BMOA-) functions by bounded (resp. \(H^{\infty}\)-) functionsinterpolating sequences for BMO- and \(L^{\infty }\)-functionstruncating functions on the space BMO of functions of bounded mean oscillation

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 continuous functions, function algebras (46J10) Classical Banach spaces in the general theory (46B25) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) (H^p)-spaces (42B30) Ideals, maximal ideals, boundaries (46J20) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (8)

The structure of Banach algebras of bounded continuous functions on the open disk that contain \(H^ \infty\), the Hoffman algebra, and nontangential limits ⋮ On the Sundberg approximation theorem ⋮ Fatou's theorem on nontangential limits and problems of extension to an ideal boundary ⋮ Smallness sets for bounded holomorphic functions ⋮ Meromorphic and harmonic functions inducing continuous maps from \(M_{H^\infty}\) into the Riemann sphere ⋮ \(BMO\) functions as harmonic sections of flat bundles on the maximal ideal space of \(H^\infty\) ⋮ Multiplicative structure in weighted BMOA spaces ⋮ Joint approximation in BMO

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