A new product of weighted differentiation and superposition operators between Hardy and Zygmund spaces

DOI10.3934/math.2021451zbMath1484.47141OpenAlexW3167930659MaRDI QIDQ2130815

Alaa Kamal, M. H. Eissa

Publication date: 25 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021451

zbMATH Keywords

compactnesssuperposition operator\( {D^n_u} S_{\phi}\) operatorsweighted differentiation operator

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Compactness in Banach (or normed) spaces (46B50)

Cites Work

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• Composition followed by differentiation between \(H^\infty\) and Zygmund spaces
• Composition operators on small spaces
• On Stević type operator from \(H^\infty\) space to the logarithmic Bloch spaces
• Properties of superposition operators acting between \(\mathcal{B}_\mu^\ast\) and \(Q_K^\ast\)
• Superposition operators on Bloch-type spaces
• Products of Volterra type operator and composition operator from \(H^\infty \)and Bloch spaces to Zygmund spaces
• Superposition operators between the Bloch space and Bergman spaces
• On generalized superposition operator acting of analytic function spaces
• Weighted composition operators from Zygmund spaces into Bloch spaces
• Volterra-type operators on Zygmund spaces
• Generalized composition operators on Zygmund spaces and Bloch type spaces
• Compact Composition Operators on the Bloch Space
• Superposition operators between Q_p spaces and Bloch-type spaces

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