On biholomorphic mappings in complex Banach spaces

DOI10.1216/RMJ-2011-41-6-2069zbMath1238.46039OpenAlexW1996175693MaRDI QIDQ658393

Qing-Hua Xu, Tai Shun Liu

Publication date: 12 January 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2011-41-6-2069

zbMATH Keywords

starlike mappingstarlike mapping of order \(\alpha\)almost starlike mapping of order \(\alpha\)coefficient estimationstrongly starlike mappingstrongly starlike mapping of order \(\alpha\)

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Infinite-dimensional holomorphy (46G20) Holomorphic mappings and correspondences (32H99) Other generalizations of function theory of one complex variable (32A30)

Related Items (2)

Extremal Problems and g-Loewner Chains in $$\mathbb{C}^{n}$$ and Reflexive Complex Banach Spaces ⋮ Growth, distortion and coefficient bounds for Carathéodory families in \(\mathbb C^n\) and complex Banach spaces

Cites Work

• The growth and 1/4-theorems for starlike mappings in \(\mathbb{C}^ n\)
• The growth theorem for starlike mappings on bounded starlike circular domains
• Starlike mappings on bounded balanced domains with \(C^1\)-plurisubharmonic defining functions
• Applications of subordination chains to starlike mappings in \(\mathbb{C}^ n\)
• On growth and covering theorems of quasi-convex mappings in the unit ball of a complex Banach space
• Nonlinear semigroups and evolution equations
• Parametric Representation of Univalent Mappings in Several Complex Variables
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