Distortion theorems for normalized biholomorphic quasi-convex mappings

DOI10.1007/s10114-017-6220-5zbMath1378.32010OpenAlexW2612508212MaRDI QIDQ1682272

Tai Shun Liu, Yong Hong Xie, Xiao-Fei Zhang

Publication date: 29 November 2017

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

Full work available at URL: https://doi.org/10.1007/s10114-017-6220-5

zbMATH Keywords

distortion theoremsquasi-convex mappings in the ball

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Other generalizations of function theory of one complex variable (32A30)

Related Items (1)

A Schwarz lemma at the boundary on complex Hilbert balls and applications to starlike mappings

Cites Work

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• Schwarz lemma at the boundary of the unit ball in \(\mathbb C^n\) and its applications
• Distortion theorems for convex mappings on homogeneous balls
• Biholomorphic convex mappings of the ball in \(\mathbb{C}^ n\)
• On growth and covering theorems of quasi-convex mappings in the unit ball of a complex Banach space
• Convexity properties of holomorphic mappings in ℂⁿ
• A Distortion Theorem for Biholomorphic Mappings in ℂ 2
• Norm order and geometric properties of holomorphic mappings in \(\mathbb{C}^n\)
• The distortion theorems of linear invariant family on the unit ball

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