Global integral criteria for composition operators

DOI10.1016/S0022-247X(02)00046-XzbMath1015.30017MaRDI QIDQ1614685

Jie Xiao, Karl-Joachim Wirths

Publication date: 8 September 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

boundednesscompactnesscomposition operators\(Q\)-spacesDirichlet-type spacesglobal area integrals

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45)

Related Items (7)

The essential norm of a composition operator mapping into the \(Q_{s}\)-space ⋮ Compact and weakly compact composition operators on BMOA ⋮ Level sets and composition operators on the Dirichlet space ⋮ Essential norm estimates for composition operators on BMOA ⋮ Composition operators with univalent symbol in Schatten classes ⋮ Contact points and Schatten composition operators ⋮ Trace estimates of Toeplitz operators on Bergman spaces and applications to composition operators

Cites Work

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• The essential norm of a composition operator
• Multipliers of the Dirichlet space
• Composition operators and classical function theory
• Some subclasses of BMOA and their characterization in terms of Carleson measures
• Trace ideal criteria for Toeplitz operators
• Angular Derivatives and Compact Composition Operators on the Hardy and Bergman Spaces
• Composition Operators Belonging to the Schatten Ideals
• ON SUBSPACES AND SUBSETS OF BMOA AND UBC
• Recognizing \(\mathfrak{Q}_{p,0}\) functions per Dirichlet space structure

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