Koebe invariant functions and extremal problems for holomorphic mappings in the unit ball of \(\mathbb C^n\)

DOI10.1007/BF03321652zbMath1143.32009OpenAlexW2056149623MaRDI QIDQ925162

John A. Pfaltzgraff, Ted J. Suffridge

Publication date: 30 May 2008

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: http://www.heldermann.de/CMF/CMF07/CMF072/cmf07026.htm

zbMATH Keywords

extremal functioninvariant functionlocally biholomorphic mappinglinear invariance

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) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (6)

Bounded support points for mappings with \(g\)-parametric representation in \(\mathbb{C}^2\) ⋮ Variation of Loewner chains, extreme and support points in the class \(S^0\) in higher dimensions ⋮ Support points and extreme points for mappings with \(A\)-parametric representation in \(\mathbb C^n\) ⋮ Horosphere-invariant mappings of the unit ball in \(\mathbb{C}^n\) ⋮ Extension operators and support points associated with \(g\)-Loewner chains on complex Banach spaces ⋮ Shearing process and an example of a bounded support function in \(S^0(\mathbb B^2)\)

Cites Work

• A modification of the Roper-Suffridge extension operator
• Univalent mappings associated with the Roper-Suffridge extension operator
• Convex mappings on the unit ball of \(\mathbb C^ n\)
• Linear-invariante Familien analytischer Funktionen. I
• Extreme points for convex mappings of \(B_n \)
• Linear-invariante Familien analytischer Funktionen. II
• Norm order and geometric properties of holomorphic mappings in \(\mathbb{C}^n\)
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Koebe invariant functions and extremal problems for holomorphic mappings in the unit ball of \(\mathbb C^n\)