Growth and two-point distortion for biholomorphic mappings of the ball

DOI10.1080/17476930601065458zbMath1120.32010OpenAlexW2103507790MaRDI QIDQ3446611

Ian Graham, Gabriela Kohr, John A. Pfaltzgraff

Publication date: 19 June 2007

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

Full work available at URL: https://doi.org/10.1080/17476930601065458

zbMATH Keywords

linear invariant familybiholomorphic mappingdistorsionmin growth boundnorm order

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)

Related Items

Two-point distortion bounds for biholomorphic mappings of the ball in \(\mathbb C^n\) ⋮ Growth and distortion theorems for linearly invariant families on homogeneous unit balls in \(\mathbb C^n\) ⋮ Distortion theorems for convex mappings on homogeneous balls ⋮ Two-point distortion theorems for harmonic and pluriharmonic mappings

Cites Work

• Unnamed Item
• Ein Verzerrungssatz für schlichte Funktionen
• Distortion of univalent functions
• Two-point distortion for univalent functions
• Two-point distortion theorems for univalent functions
• Linear-invariante Familien analytischer Funktionen. I
• Two-Point Distortion Theorems for Strongly Close-to-Convex Functions
• Distortion of locally biholomorphic maps of the N-Ball
• On Some Distortion Results for Convex Mappings in C ⁿ
• The Numerical Range of Holomorphic Functions in Banach Spaces
• On a theorem of Grace
• Norm order and geometric properties of holomorphic mappings in \(\mathbb{C}^n\)