Composition operators on Zygmund spaces of the unit ball

DOI10.1016/j.jmaa.2012.04.027zbMath1293.47021OpenAlexW2018407186MaRDI QIDQ442493

Jineng Dai

Publication date: 1 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.04.027

zbMATH Keywords

boundednesscompactnessBloch spacecomposition operatorZygmund 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 functions, normal functions of several complex variables (32A18) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (8)

Composition Cesàro operator on the normal weight Zygmund space in high dimensions ⋮ Multiplier and composition operator between several holomorphic function spaces in \(C^n\) ⋮ Composition operator on F(p,q,s) spaces in the unit ball of ⋮ Equivalent characterizations and pointwise multipliers of normal weight Dirichlet space on the unit ball ⋮ Composition operators on the normal weight Zygmund spaces in high dimensions ⋮ Weighted differentiation composition operators between normal weight Zygmund spaces and Bloch spaces in the unit ball of \({C}^{\text{n}}\) for \({n}>1\) ⋮ Composition operator on the normal weight Zygmund space in high dimensions ⋮ Weighted composition operators from Zygmund spaces to Bloch spaces on the unit ball

Cites Work

• Unnamed Item
• Composition operators on small spaces
• Composition operators associated with bloch-type spaces
• Bloch Functions in Several Complex Variables, I
• Composition operators on μ-Bloch spaces
• Compact composition operators on Besov spaces
• Compact Composition Operators on the Bloch Space

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