Compact and weakly compact composition operators on BMOA

DOI10.1007/s11785-011-0130-9zbMath1295.47019arXiv0912.3487OpenAlexW2068859500WikidataQ109553773 ScholiaQ109553773MaRDI QIDQ371772

Pekka J. Nieminen, Hans-Olav Tylli, Jussi Laitila, Eero Saksman

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.3487

zbMATH Keywords

oscillationcompact operatorweakly compact operatorsBMOAcomposition operatorbounded meanvanishing mean oscillation

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Linear composition operators (47B33) Banach spaces of continuous, differentiable or analytic functions (46E15) Bloch spaces (30H30) BMO-spaces (30H35)

Related Items (14)

New characterizations for the integral-type operator from BMOA to Bloch-type spaces ⋮ Compactness and weak compactness of weighted composition operators on BMOA ⋮ Rigidity of composition operators on the Hardy space \(H^{p}\) ⋮ Some new properties of composition operators associated with lens maps ⋮ Some properties of the integration operators on the spaces \(F(p, q, s)\) ⋮ Rigidity of weighted composition operators on H^p ⋮ Essential norm estimates for composition operators on BMOA ⋮ Composition operators between analytic Campanato spaces ⋮ Norm, essential norm and weak compactness of weighted composition operators between dual Banach spaces of analytic functions ⋮ Closed range composition operators on BMOA ⋮ The essential norm of a weighted composition operator on BMOA ⋮ Operator-weighted composition operators on vector-valued Bloch spaces ⋮ Weak compactness of operators acting on o–O type spaces ⋮ Compact and weakly compact composition operators from the Bloch space into Möbius invariant spaces

Cites Work

• Small composition operators on analytic vector-valued function spaces
• Composition operators and classical function theory
• Weakly compact composition operators on VMO.
• Global integral criteria for composition operators
• Weighted composition operators on BMOA
• Composition operators and vector-valued BMOA
• Compactness of composition operators on BMOA and VMOA
• Weakly compact composition operators on vector-valued BMOA
• On John and Nirenberg's theorem
• Compact composition operators on BMOA and the Bloch space
• Weak Subordination and Stable Classes of Meromorphic Functions
• Compact Composition Operators on BMOA
• Compactness of composition operators on BMOA
• Bloch-to-BMOA pullbacks on the disk
• COMPOSITION OPERATORS MAPPING INTO THE Qp SPACES
• The Essential Norm of a Bloch-to-Q_p Composition Operator
• Composition operators: $N_α$ to the Bloch space to $Q_β$
• Composition operators on some Möbius invariant Banach spaces
• Compact Composition Operators on the Bloch Space
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