The nonlinear superposition operators between Zygmund-type and Bloch-type spaces

DOI10.1007/s00009-019-1304-3zbMath1486.47100OpenAlexW2920610406WikidataQ128221118 ScholiaQ128221118MaRDI QIDQ2414241

Yu-Xia Liang, Ze-Hua Zhou

Publication date: 10 May 2019

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-019-1304-3

zbMATH Keywords

boundednessnonlinearityorderBloch-type spaceZygmund-type spacesuperposition operator

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Normal functions of one complex variable, normal families (30D45) Spaces of bounded analytic functions of one complex variable (30H05)

Related Items (5)

A radial integrability result concerning bounded functions in analytic Besov spaces with applications ⋮ Superposition operators between normal weight Bloch spaces ⋮ Superposition operators between mixed norm spaces of analytic functions ⋮ Integral superposition-type operators on some analytic function spaces ⋮ Toeplitz-superposition operators on analytic Bloch spaces

Cites Work

• Bounded superposition operators between Bloch-Orlicz and \(\alpha \)-Bloch spaces
• Superposition operators between \(Q_p\) spaces and Hardy spaces
• Superposition operators on Bloch-type spaces
• Univalent interpolation in Besov spaces and superposition into Bergman spaces
• Composition operators and classical function theory
• Superposition operators, Hardy spaces, and Dirichlet type spaces
• Superposition operators between the Bloch space and Bergman spaces
• Weighted composition operators between Zygmund type spaces and their essential norms
• Superposition operators between weighted Banach spaces of analytic functions of controlled growth
• Bounded superposition operators between weighted Banach spaces of analytic functions
• Spaces of Holomorphic Functions in the Unit Ball
• HOLOMORPHIC SUPERPOSITION OPERATORS BETWEEN BANACH FUNCTION SPACES
• Superposition operators between Q_p spaces and Bloch-type spaces
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