Characterizations of \(\alpha \)-Bloch functions on the unit ball without use of derivative

DOI10.1007/S11425-008-0104-1zbMath1187.32004OpenAlexW2038416158MaRDI QIDQ1042788

Huai Hui Chen

Publication date: 7 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-008-0104-1

zbMATH Keywords

biholomorphic mappingunit ballBergman metric\(\alpha\)-Bloch function

Mathematics Subject Classification ID

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 (3)

\(\alpha\)-Bloch functions and Lipschitz classes ⋮ Equivalent characterizations of \(\alpha\)-Bloch functions on the unit ball ⋮ Bloch type spaces on the unit ball of a Hilbert space

Cites Work

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• A characterization of Bloch-type spaces on the unit ball of \(\mathbb C^n\)
• Weighted composition operators between \(\mu\)-Bloch spaces on the unit ball
• Criteria for membership of Bloch space and its subspace BMOA
• Composition operators on \(\alpha\)-Bloch spaces of the unit ball
• Bloch space and möbius invariant besov spaces on the unit ball of
• Composition operators on μ-Bloch spaces
• Bloch space in the unit ball of $\mathbb {C}^{n}$
• Exact location of \(\alpha\)-Bloch spaces in \(L^p_a\) and \(H^p\) of a complex unit ball

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