Extreme points for convex mappings of \(B_n \)

DOI10.1007/BF02790274zbMath1138.32008MaRDI QIDQ2479602

Jerry R. jun. Muir, Ted J. Suffridge

Publication date: 1 April 2008

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

extreme pointhomogeneous polynomialconvex mapping

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02)

Related Items (16)

Bounded support points for mappings with \(g\)-parametric representation in \(\mathbb{C}^2\) ⋮ Support points and extreme points for mappings with \(A\)-parametric representation in \(\mathbb C^n\) ⋮ Loewner chain associated with the modified Roper-Suffridge extension operator ⋮ New subclasses of biholomorphic mappings and the modified Roper-Suffridge operator ⋮ On the parametric representation of univalent functions on the polydisc ⋮ The Roper-Suffridge extension operator and classes of biholomorphic mappings ⋮ Horosphere-invariant mappings of the unit ball in \(\mathbb{C}^n\) ⋮ The roles played by order of convexity or starlikeness and the Bloch condition in the extension of mappings from the disk to the ball ⋮ Extremal Problems and g-Loewner Chains in $$\mathbb{C}^{n}$$ and Reflexive Complex Banach Spaces ⋮ The Roper-Suffridge extension operator and its applications to convex mappings in ${\mathbb {C}}^{2}$ ⋮ Rigidity for convex mappings of Reinhardt domains and its applications ⋮ Extremal Problems for Mappings with g-Parametric Representation on the Unit Polydisc in ℂ n ⋮ Koebe invariant functions and extremal problems for holomorphic mappings in the unit ball of \(\mathbb C^n\) ⋮ A new Roper-Suffridge extension operator on a Reinhardt domain ⋮ Convex families of holomorphic mappings related to the convex mappings of the ball in $\mathbb {C}^n$ ⋮ A class of Loewner chain preserving extension operators

Cites Work

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• Unbounded convex mappings of the ball in $\mathbb {C}^n$
• A generalization of half-plane mappings to the ball in ℂⁿ
• Linear Invariance, Order and Convex Maps in
• Convex Hulls of Some Classical Families of Univalent Functions
• Norm order and geometric properties of holomorphic mappings in \(\mathbb{C}^n\)

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