A subclass of quasi-convex mappings on a Reinhardt domain in \(\mathbb{C}^n\)

DOI10.1007/S10473-020-0607-6zbMath1499.32011OpenAlexW3091813488MaRDI QIDQ2151965

Xiaosong Liu

Publication date: 5 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-020-0607-6

zbMATH Keywords

distortion theoremquasi-convex mappingmain coefficientquasi-convex mapping of type \(\mathbb{A}\)quasi-convex mapping of type \(\mathbb{B}\)

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Other generalizations of function theory of one complex variable (32A30)

Cites Work

• The sharp estimates of all homogeneous expansions for a class of quasi-convex mappings on the unit polydisk in \(\mathbb C^{n}\)
• Homogeneous expansions of normalized biholomorphic convex mappings over \(B^ p\)
• Sharp estimates of all homogeneous expansions for a subclass of quasi-convex mappings of type \(\mathbb{B}\) and order \(\alpha\) in several complex variables
• Coefficient estimates for starlike mappings
• On the quasi-convex mappings on the unit polydisk in \(\mathbb C^{n}\)
• Sharp distortion theorems for a subclass of quasi-convex mappings in several complex variables
• The sharp estimates of main coefficients for starlike mappings in ℂⁿ
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