Equivalent characterizations of \(\alpha\)-Bloch functions on the unit ball

DOI10.1007/s10114-011-9391-5zbMath1262.32002OpenAlexW1970557633MaRDI QIDQ1942190

Min Zhu Zhang, Huai Hui Chen

Publication date: 18 March 2013

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

Full work available at URL: https://doi.org/10.1007/s10114-011-9391-5

zbMATH Keywords

unit 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 (1)

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
• Characterizations of \(\alpha \)-Bloch functions on the unit ball without use of derivative
• Criteria for membership of Bloch space and its subspace BMOA
• Characterizations of \(\alpha \)-Bloch spaces on the unit ball
• 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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