The decomposition theorem for the family of complete quasi-convex mappings

DOI10.1016/j.jmaa.2004.03.075zbMath1059.30007OpenAlexW2094053479MaRDI QIDQ703881

Sheng Gong, Tai Shun Liu

Publication date: 12 January 2005

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.2004.03.075

zbMATH Keywords

decomposition theoremquasi-convex mapping\dotsbounded convex circular domaincomplete quasi-convex mappingcomplete quasi-convex mapping of type \((n_1n_2n_k)\)

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Special families of functions of several complex variables (32A17) Other generalizations of function theory of one complex variable (32A30)

Related Items (3)

On a subclass of quasi-convex mappings ⋮ Loewner chains associated with the generalized Roper-Suffridge extension operator on some domains ⋮ The generalized Roper-Suffridge extension operator on bounded complete Reinhardt domains

Cites Work

• The principle of subordination applied to functions of several variables
• Convexity properties of holomorphic mappings in ℂⁿ
• Decomposition theorem of normalized biholomorphic convex mappings
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