On two conjectures for convex biholomorphic mappings in \(\mathbb C ^n\)

DOI10.1007/BF02789055zbMath1086.32012OpenAlexW1996794355WikidataQ123009476 ScholiaQ123009476MaRDI QIDQ2565890

Piotr Liczberski, Victor V. Starkov

Publication date: 28 September 2005

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

Full work available at URL: https://doi.org/10.1007/bf02789055

zbMATH Keywords

Jacobiandistortion theorembiholomorphic mappingconvex mappinglocally biholomorphic mapping.

Mathematics Subject Classification ID

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

Related Items (5)

The subordination principle and its application to the generalized Roper-Suffridge extension operator ⋮ The Roper-Suffridge extension operator and classes of biholomorphic mappings ⋮ The Roper-Suffridge extension operator and its applications to convex mappings in ${\mathbb {C}}^{2}$ ⋮ Extension operators and support points associated with \(g\)-Loewner chains on complex Banach spaces ⋮ Geometric and Analytic Properties Associated With Extension Operators

Cites Work

• Univalent mappings associated with the Roper-Suffridge extension operator
• Distortion theorems for biholomorphic convex mappings in \({\mathbb C}^n\)
• Convex mappings on the unit ball of \(\mathbb C^ n\)
• Bloch constants in several variables
• Holomorphic Quasiregular Mappings
• Norm order and geometric properties of holomorphic mappings in \(\mathbb{C}^n\)

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