Properties of superposition operators acting between \(\mathcal{B}_\mu^\ast\) and \(Q_K^\ast\)

DOI10.1016/J.JOEMS.2015.01.003zbMath1347.46017OpenAlexW339184039MaRDI QIDQ900520

Alaa Kamal

Publication date: 22 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.joems.2015.01.003

zbMATH Keywords

compactnesssuperposition operatorsLipschitz continuityhyperbolic \(Q_K\)-type spacehyperbolic Bloch-type space

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Linear composition operators (47B33) Banach spaces of continuous, differentiable or analytic functions (46E15) Bloch spaces (30H30)

Related Items (2)

A new product of weighted differentiation and superposition operators between Hardy and Zygmund spaces ⋮ Composition operator, boundedness, compactness, hyperbolic Bloch-type space \(\beta_\mu^*\), hyperbolic-type space

Cites Work

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• Bounded superposition operators between Bloch-Orlicz and \(\alpha \)-Bloch spaces
• Several function-theoretic characterizations of Möbius invariant \(\mathcal Q_K\) spaces
• Superposition operators on Bloch-type spaces
• Univalent interpolation in Besov spaces and superposition into Bergman spaces
• Hyperbolic Hardy classes and hyperbolically Dirichlet-finite functions
• Inner functions in the hyperbolic little Bloch class
• Superposition operators between the Bloch space and Bergman spaces
• Lipschitz continuous and compact composition operators in hyperbolic classes
• Hadamard products and \(Q_K\) spaces
• Functions with $H^p$ hyperbolic derivative.
• Hyperbolic Hardy class $H^1$
• Composition operators in hyperbolic general Besov-type spaces

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