Composition operators on some Möbius invariant Banach spaces

DOI10.1017/S0004972700018426zbMath0963.47023MaRDI QIDQ4515425

Shamil Makhmutov, Maria Tjani

Publication date: 3 July 2001

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Bloch spaceVMOAcompact composition operatorsvanishing mean oscillationMöbius invariant Banach space

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Normal functions of one complex variable, normal families (30D45) Linear operators on function spaces (general) (47B38) Linear composition operators (47B33)

Related Items (34)

The spectrum of a composition operator with automorphic symbol ⋮ Weighted composition operators on BMOA ⋮ Projective limits of Dirichlet spaces and embeddings of Bloch-type spaces ⋮ Composition operators on \(Q_{k}\) spaces ⋮ Norm and essential norm of a weighted composition operator on the Bloch space ⋮ Compact and weakly compact composition operators on BMOA ⋮ Weighted composition operators from the minimal Möbius invariant space into \(n\)-th weighted-type spaces ⋮ Embedding and Volterra integral operators from Dirichlet-Morrey spaces into general function spaces ⋮ Volterra integral operators from Dirichlet type spaces into Hardy spaces ⋮ Embedding of \(BMOA_{\log }\) into tent spaces and Volterra integral operators ⋮ New criteria for boundedness and compactness of weighted composition operators mapping into the Bloch space ⋮ Hyperbolic BMOA classes ⋮ Composition operator, boundedness, compactness, hyperbolic Bloch-type space \(\beta_\mu^*\), hyperbolic-type space ⋮ Weighted Composition Operators from the Zygmund Space to nth Weighted-Type Spaces ⋮ Essential norm estimates for composition operators on BMOA ⋮ Composition operators between Bloch and BMOA spaces on polydisks ⋮ On an extension of Stević-Sharma operator from the mixed-norm space to weighted-type spaces ⋮ Weighted composition operators from the Bloch space and the analytic Besov spaces into the Zygmund space ⋮ Generalized composition operators from the Lipschitz space into the Zygmund space ⋮ Volterra integral operators from Campanato spaces into general function spaces ⋮ Embedding of Dirichlet type spaces into tent spaces and Volterra operators ⋮ Essential norm of generalized weighted composition operators from $H^\infty$ to the logarithmic Bloch space ⋮ Weakly compact composition operators on vector-valued BMOA ⋮ Spectra of composition operators on the Bloch and Bergman spaces ⋮ Weighted composition operators from H^∞ to the Bloch space in the unit ball of Copf;ⁿ ⋮ Closed range composition operators on BMOA ⋮ LIPSCHITZ CONTINUOUS AND COMPACT COMPOSITION OPERATOR ACTING BETWEEN SOME WEIGHTED GENERAL HYPERBOLIC-TYPE CLASSES ⋮ A new characterization of weighted composition operators from \(F(p, q, s)\) into Bloch type space ⋮ Embedding of Besov spaces into tent spaces and applications ⋮ Bloch-to-BMOA compositions on complex balls ⋮ Hyperbolic \(g\)-function and Bloch pullback operators ⋮ Metric spaces of bounded analytical functions ⋮ Unnamed Item ⋮ Compact and weakly compact composition operators from the Bloch space into Möbius invariant spaces

Cites Work

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• The essential norm of a composition operator
• Schlichte Funktionen und analytische Funktionen von beschränkter mittlerer Oszillation
• Composition operators and classical function theory
• Hyperbolic Besov functions and Bloch-to-Besov composition operators
• Some subclasses of BMOA and their characterization in terms of Carleson measures
• An Extremal Property of the Bloch Space
• Bloch-to-BMOA pullbacks on the disk
• COMPOSITION OPERATORS MAPPING INTO THE Qp SPACES
• Compact Composition Operators on the Bloch Space

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