Applications of subordination chains to starlike mappings in \(\mathbb{C}^ n\)

DOI10.2140/pjm.1995.168.33zbMath0822.32001OpenAlexW2024117463MaRDI QIDQ1894910

Martin Chuaqui Farrú

Publication date: 15 October 1995

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1995.168.33

zbMATH Keywords

univalent mapsquasiconformal extensionsubordination chainsstarlike mappingsgrowth theoremunit ball in \(\mathbb{C}^ n\)

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) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Other generalizations of function theory of one complex variable (32A30)

Related Items (16)

Growth theorems and coefficient bounds for univalent holomorphic mappings which have parametric representation ⋮ Bounded support points for mappings with \(g\)-parametric representation in \(\mathbb{C}^2\) ⋮ Homeomorphic extension of strongly spirallike mappings in \(\mathbb C^n\) ⋮ Sharp distortion theorems for a subclass of biholomorphic mappings which have a parametric representation in several complex variables ⋮ Univalence criteria starting from the method of Loewner chains ⋮ Sharp growth and distortion theorems for a subclass of biholomorphic mappings ⋮ Loewner chains and parametric representation in several complex variables ⋮ Unnamed Item ⋮ Extension operators preserving biholomorphic mappings on Hartogs domains ⋮ On biholomorphic mappings in complex Banach spaces ⋮ Sharp growth theorems and coefficient bounds for starlike mappings in several complex variables ⋮ Solutions for the generalized Loewner differential equation in several complex variables ⋮ Biholomorphic mappings on bounded starlike circular domains ⋮ On some classes of bounded univalent mappings in several complex variables ⋮ On coefficient estimates for a class of holomorphic mappings ⋮ Growth theorems for a subclass of strongly spirallike functions

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