Bloch constant of holomorphic mappings on the unit polydisk of \(\mathbb C^n\)

DOI10.1007/s11425-008-0061-8zbMath1146.32006OpenAlexW2047724493MaRDI QIDQ943414

Tai Shun Liu, Jian Fei Wang

Publication date: 9 September 2008

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

Full work available at URL: https://doi.org/10.1007/s11425-008-0061-8

zbMATH Keywords

critical pointBloch constantJulia lemmalocally biholomorphic mappingBloch mappingLandau constantunivalent ball

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Normal functions of one complex variable, normal families (30D45) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Other generalizations of function theory of one complex variable (32A30)

Related Items (5)

Distortion of locally biholomorphic Bloch mappings on bounded symmetric domains ⋮ 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 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
• On the size of balls covered by analytic transformations
• The Bloch theorem in several complex variables
• Bloch constant of holomorphic mappings on bounded symmetric domains
• On Bloch's constant
• Univalent mappings in serveral complex variables
• On Bloch's Constant
• On a Class of Conformal Metrics
• Distortion Theorems for Bloch Functions
• Distortion in several variables
• Higher Dimensional Generalizations of the Bloch Constant and their Lower Bounds
• An Extension of Schwarz's Lemma
• Bloch’s theorem for real variables
• Normal families of holomorphic mappings
• Unnamed Item

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