Composition operators on \(\alpha\)-Bloch spaces of the unit ball

DOI10.1007/s10114-007-0993-xzbMath1149.47014OpenAlexW1977017179MaRDI QIDQ2477794

Wen Xu, Min Zhu Zhang

Publication date: 14 March 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-0993-x

zbMATH Keywords

boundednesscompactnesscomposition operatorsBloch-type spaces on the unit ball

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Linear composition operators (47B33) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (14)

\(\alpha\)-Bloch functions and Lipschitz classes ⋮ Composition operator on F(p,q,s) spaces in the unit ball of ⋮ Equivalent characterizations of \(\alpha\)-Bloch functions on the unit ball ⋮ Bloch Mappings on Bounded Symmetric Domains ⋮ Unnamed Item ⋮ Bloch functions on bounded symmetric domains ⋮ Composition operators on F(p,q,s) type spaces in the unit ball of \(\mathbf{C}^{\mathbf{n}}\) ⋮ An estimate of the essential norm of a composition operator from \(F(p,q,s)\) to \(\mathcal B^\alpha \) in the unit ball ⋮ Equivalent characterizations and pointwise multipliers of normal weight Dirichlet space on the unit ball ⋮ Composition operators of Bloch-type spaces on bounded symmetric domains ⋮ Weighted differentiation composition operators between normal weight Zygmund spaces and Bloch spaces in the unit ball of \({C}^{\text{n}}\) for \({n}>1\) ⋮ Weighted composition operators of \(H ^{\infty }\) into \(\alpha \)-Bloch spaces on the unit ball ⋮ Characterizations of \(\alpha \)-Bloch functions on the unit ball without use of derivative ⋮ Some new characterizations of the Bloch space

Cites Work

• Unnamed Item
• Weighted composition operators between \(\mu\)-Bloch spaces on the unit ball
• Weighted composition operators between Bloch-type spaces.
• Composition operators on the Bloch space of several complex variables
• Compact Composition Operators on the Bloch Space
• Exact location of \(\alpha\)-Bloch spaces in \(L^p_a\) and \(H^p\) of a complex unit ball

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