Distortion theorem for Bloch mappings on the unit ball \(\mathcal B^n\)

DOI10.1007/s10114-009-6677-yzbMath1195.32010OpenAlexW2097829475MaRDI QIDQ1044329

Jian Fei Wang, Tai Shun Liu

Publication date: 11 December 2009

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

Full work available at URL: https://doi.org/10.1007/s10114-009-6677-y

zbMATH Keywords

distortion theoremBloch mappingunivalent ball

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Bloch functions, normal functions of several complex variables (32A18) Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.) (32A19)

Related Items (5)

Bloch Mappings on Bounded Symmetric Domains ⋮ \(\alpha\)-Bloch mappings on bounded symmetric domains in \(\mathbb C^n\) ⋮ A distortion theorem and the Bloch constant for Bloch mappings in \(\mathbb{C}^N\) ⋮ Distortion theorem for locally biholomorphic Bloch mappings on the unit ball \(\mathcal{B}^{n*}\) ⋮ Distortion theorems, Lipschitz continuity and their applications for Bloch type mappings on bounded symmetric domains in C^n

Cites Work

• Bloch functions of several complex variables
• Distortion theorem for biholomorphic mappings in transitive domains. II
• Distortion theorem for biholomorphic mappings in transitive domains. III
• The Bloch theorem in several complex variables
• Distortion theorems for Bloch functions
• Distortion theorem for biholomorphic mappings in transitive domains. IV
• Bloch constant of holomorphic mappings on bounded symmetric domains
• On Bloch's constant
• On Bloch's Constant
• On the locally univalent Bloch constant
• On the Bloch constant for \(K\)-quasiconformal mappings in several complex variables
• The distortion theorems of linear invariant family on the unit ball

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