Some sufficient conditions for biholomorphic convex mappings on \(B_p^n\)

DOI10.1016/j.jmaa.2005.04.063zbMath1092.32012OpenAlexW2052255894MaRDI QIDQ819701

Yu-Can Zhu, Ming-Sheng Liu

Publication date: 29 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.04.063

zbMATH Keywords

Reinhardt domainlocally biholomorphic mappingbiholomorphic convex mapping

Mathematics Subject Classification ID

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

Related Items (6)

On \(\epsilon\) quasi-convex mappings in the unit ball of a complex Banach space ⋮ Quasi-convex mappings of order \(\alpha\) on the unit polydisk in \(\mathbb{C}^n\) ⋮ Construction of biholomorphic convex mappings of order \(\alpha\) on \(B_p^n\) ⋮ On the biholomorphic convex mappings of order alpha on \(D_p^n\) ⋮ Criteria for biholomorphic convex mappings on the unit ball in Hilbert spaces ⋮ Biholomorphic convex mappings of order α on

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• On the Roper-Suffridge extension operator.
• Convex mappings on the unit ball of \(\mathbb C^ n\)
• Convexity properties of holomorphic mappings in ℂⁿ
• The generalized Roper-Suffridge extension operator

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