Distortion theorems for biholomorphic convex mappings in \({\mathbb C}^n\)

DOI10.1016/S0022-247X(02)00266-4zbMath1015.32015OpenAlexW2011315505MaRDI QIDQ1856868

Piotr Liczberski, Victor V. Starkov

Publication date: 11 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00266-4

zbMATH Keywords

distortion theoremconvex domainbiholomorphic mappings

Mathematics Subject Classification ID

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

Related Items (5)

The Roper-Suffridge extension operator and classes of biholomorphic mappings ⋮ The Roper-Suffridge extension operator and its applications to convex mappings in ${\mathbb {C}}^{2}$ ⋮ Roper-Suffridge extension operator and the lower bound for the distortion ⋮ Distortion theorems for convex mappings on homogeneous balls ⋮ On two conjectures for convex biholomorphic mappings in \(\mathbb C ^n\)

Cites Work

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• 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
• The principle of subordination applied to functions of several variables
• Order of linearly invariant family of mappings in
• Distortion of locally biholomorphic maps of the N-Ball
• A Distortion Theorem for Biholomorphic Mappings in ℂ 2
• Linear Invariance, Order and Convex Maps in
• Some remarks on biholomorphic mappings in Cⁿ
• Norm order and geometric properties of holomorphic mappings in \(\mathbb{C}^n\)

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