Sharp distortion theorems for a subclass of quasi-convex mappings in several complex variables

DOI10.1080/17476933.2015.1085516zbMath1338.32004OpenAlexW2274745364MaRDI QIDQ2801973

Xiaosong Liu, Tai Shun Liu

Publication date: 22 April 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2015.1085516

zbMATH Keywords

distortion theoremsquasi-convex mappingsunit ball in \(\mathbb C^n\)unit ball in a Banach space

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 subclass of quasi-convex mappings on a Reinhardt domain in \(\mathbb{C}^n\)

Cites Work

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• Distortion theorems for convex mappings on homogeneous balls
• Biholomorphic convex mappings of the ball in \(\mathbb{C}^ n\)
• Distortion theorems for biholomorphic convex mappings on bounded convex circular domains
• Bloch constants in one and several variables
• The generalized Roper-Suffridge extension operator on bounded complete Reinhardt domains
• Growth and Distortion Results for Convex Mappings in Infinite Dimensional Spaces
• Convexity properties of holomorphic mappings in ℂⁿ
• A Distortion Theorem for Biholomorphic Mappings in ℂ 2
• THE GROWTH THEOREM FOR $k$ -FOLD SYMMETRIC CONVEX MAPPINGS
• Distortion theorems for biholomorphic convex mappings in Banach spaces*

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