Essential norms of integral operators on spaces of analytic functions

DOI10.1016/j.na.2012.04.030zbMath1272.45011OpenAlexW2071423625MaRDI QIDQ435093

Junming Liu, Chengji Xiong, Zeng Jian Lou

Publication date: 16 July 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.04.030

zbMATH Keywords

boundednessintegral operatorHankel operatorBloch spaceessential normDirichlet spaceBMOA spaceBanach spaces of analytic functions

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Integral operators (45P05) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Bloch spaces (30H30) BMO-spaces (30H35)

Related Items (15)

Integral operators on Bergman-Morrey spaces ⋮ Bergman-Morrey type spaces and Volterra integral operators ⋮ Generalized integration operators from mixed-norm to Zygmund-type spaces ⋮ Essential norm of generalized Hilbert matrix from Bloch type spaces to BMOA and Bloch space ⋮ Volterra composition operators from Dirichlet-Morrey spaces to Bloch-type spaces ⋮ Volterra-type operators on the minimal Möbius-invariant space ⋮ Norm of an integral operator on some analytic function spaces on the unit disk ⋮ Unnamed Item ⋮ Norm of a Volterra integral operator on some analytic function spaces ⋮ Integral operators on analytic Morrey spaces ⋮ Besov-Morrey spaces and Volterra integral operator ⋮ Essential Norm of the Generalized Integration Operator from Zygmund Space into Weighted Dirichlet Type Space ⋮ Essential norms of weighted composition operators from Bloch-type space to \(H^\infty \) on the unit ball ⋮ Volterra-type operators from analytic Morrey spaces to Bloch space ⋮ Unnamed Item

Cites Work

• Some closed range integral operators on spaces of analytic functions
• Essential norms and weak compactness of integration operators
• Several function-theoretic characterizations of Möbius invariant \(\mathcal Q_K\) spaces
• Volterra type operators on \(Q_K\) spaces
• Schlichte Funktionen und analytische Funktionen von beschränkter mittlerer Oszillation
• Integration operators on weighted Bloch spaces.
• An integral operator on \(H^ p\) and Hardy's inequality.
• The composition operators on weighted Bloch space
• Multiplication operators, integration operators and companion operators on weighted Bloch space
• Some subclasses of BMOA and their characterization in terms of Carleson measures
• Norm-attaining integral operators on analytic function spaces
• The \({\mathcal Q}_p\) Carleson measure problem
• Integration operators on Bergman spaces
• Interpolating sequences for the derivatives of Bloch functions
• Hankel operators from the space of bounded analytic functions to the Bloch space
• An Integral Operator on H^p
• Integration Operator Acting on Hardy and Weighted Bergman Spaces
• Distance of a Bloch Function to the Little Bloch Space
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