Sharp growth theorems and coefficient bounds for starlike mappings in several complex variables
From MaRDI portal
Publication:943066
DOI10.1007/s11401-007-0339-0zbMath1165.32006OpenAlexW2079666919MaRDI QIDQ943066
Hidetaka Hamada, Tatsuhiro Honda
Publication date: 8 September 2008
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11401-007-0339-0
covering theoremstarlike mappinggrowth theoremconvex mappingstrongly starlike mappingzero of order \(k\)
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)
Related Items (57)
Bounded support points for mappings with \(g\)-parametric representation in \(\mathbb{C}^2\) ⋮ Support points for families of univalent mappings on bounded symmetric domains ⋮ A proof of a weak version of the Bieberbach conjecture in several complex variables ⋮ The Fekete and Szegö inequality for a class of holomorphic mappings on the unit polydisk in and its application ⋮ Sharp distortion theorems for a subclass of biholomorphic mappings which have a parametric representation in several complex variables ⋮ On refinement of the coefficient inequalities for a subclass of quasi-convex mappings in several complex variables ⋮ On the Fekete and Szegö inequality for a subclass of strongly starlike mappings of order \(\alpha \) ⋮ Sharp growth and distortion theorems for a subclass of biholomorphic mappings ⋮ Coefficient inequality for a subclass of biholomorphic mappings in several complex variables ⋮ A Schwarz lemma at the boundary on complex Hilbert balls and applications to starlike mappings ⋮ Extremal Problems and g-Loewner Chains in $$\mathbb{C}^{n}$$ and Reflexive Complex Banach Spaces ⋮ Fekete-Szegö problem for univalent mappings in one and higher dimensions ⋮ Fekete and Szegő problem for a subclass of quasi-convex mappings in several complex variables ⋮ Extreme points, support points and \(g\)-Loewner chains associated with Roper-Suffridge and Pfaltzgraff-Suffridge extension operators ⋮ Growth, distortion and coefficient bounds for Carathéodory families in \(\mathbb C^n\) and complex Banach spaces ⋮ Loewner chains applied to \(g\)-starlike mappings of complex order of complex Banach spaces ⋮ Extension operators and support points associated with \(g\)-Loewner chains on complex Banach spaces ⋮ Toeplitz determinants for a class of holomorphic mappings in higher dimensions ⋮ The Fekete-Szegö inequality and successive coefficients difference for a subclass of close-to-starlike mappings in complex Banach spaces ⋮ Some results of homogeneous expansions for a class of biholomorphic mappings defined on a Reinhardt domain in \(\mathbb{C}^n\) ⋮ Approximation properties of univalent mappings on the unit ball in \(\mathbb{C}^n\) ⋮ Subordination chains and biholomorphic mappings on bounded balanced pseudoconvex domains ⋮ Bounds of all terms of homogeneous expansions for a subclass of \(g\)-parametric biholomorphic mappings in \(\mathbb{C}^n\) ⋮ Linear invariance of locally biholomorphic mappings in the unit ball of a JB\(^\ast\)-triple ⋮ Extremal Problems for Mappings with g-Parametric Representation on the Unit Polydisc in ℂ n ⋮ Unnamed Item ⋮ A note on strongly starlike mappings in several complex variables ⋮ On the Fekete and Szegö problem for the class of starlike mappings in several complex variables ⋮ Bohr phenomenon on the unit ball of a complex Banach space ⋮ On the coefficient inequalities for a class of holomorphic mappings associated with spirallike mappings in several complex variables ⋮ Approximation of univalent mappings by automorphisms and quasiconformal diffeomorphismsin \(\mathbb{C}^n\) ⋮ Some refinements of the Fekete and Szegő inequality on bounded starlike circular domains in \(\mathbb{C}^n\) ⋮ On the coefficient inequality on a bounded starlike circular domain in \(\mathbb{C}^n\) ⋮ Almost spirallike mappings of type and complex order on the unit ball ⋮ Fekete and Szegö problem in one and higher dimensions ⋮ The sharp estimates of main coefficients for starlike mappings in ℂn ⋮ The estimates of all homogeneous expansions for a subclass of biholomorphic mappings which have parametric representation in several complex variables ⋮ Analytic and geometric properties associated with some extension operators ⋮ Solutions for the generalized Loewner differential equation in several complex variables ⋮ On the Fekete and Szegö problem for starlike mappings of order \(\alpha\) ⋮ Biholomorphic mappings on bounded starlike circular domains ⋮ On some classes of bounded univalent mappings in several complex variables ⋮ A refinement of the coefficient inequalities for a subclass of starlike mappings in several complex variables ⋮ On the coefficient inequality for a subclass of strongly starlike mappings of order \(\alpha \) in several complex variables ⋮ \(g\)-Loewner chains, Bloch functions and extension operators in complex Banach spaces ⋮ The coefficient inequalities for a class of holomorphic mappings in several complex variables ⋮ On the coefficient inequalities for a class of holomorphic mappings ⋮ Extension operators preserving Janowski classes of univalent functions ⋮ The Fekete-Szegö problem for starlike mappings and nonlinear resolvents of the Carathéodory family on the unit balls of complex Banach spaces ⋮ Coefficient bounds for biholomorphic mappings which have a parametric representation ⋮ The Muir extension operator and Janowski univalent functions ⋮ On the refined esitmates of all homogeneous expansions for a subclass of biholomorphic starlike mappings in several complex variables ⋮ The sharp estimates of homogeneous expansions for the generalized class of close-to-quasi-convex mappings ⋮ Some refinements of the Fekete and Szegö inequalities in one and higher dimensions ⋮ Subclasses of biholomorphic mappings associated withg-Loewner chains on the unit ball in ℂn ⋮ The growth, covering and distortion theorems for a subclass of convex mappings ⋮ Fekete and Szegö inequality for a subclass of almost spirallike mappings of type β and order α on the bounded starlike circular domain in ℂ n
Cites Work
- On the precise growth, covering, and distortion theorems for normalized biholomorphic mappings
- Growth theorems and coefficient bounds for univalent holomorphic mappings which have parametric representation
- The growth and 1/4-theorems for starlike mappings in \(\mathbb{C}^ n\)
- Some bounds on convex mappings in several complex variables
- Starlike mappings on bounded balanced domains with \(C^1\)-plurisubharmonic defining functions
- Applications of subordination chains to starlike mappings in \(\mathbb{C}^ n\)
- Parabolic starlike mappings in several complex variables
- A refinement about estimation of expansion coefficients for normalized biholomorphic mappings
- Starlike and convex maps in Banach spaces
- Starlikeness associated with parabolic regions
- Growth and Distortion Results for Convex Mappings in Infinite Dimensional Spaces
- Φ-Like Holomorphic Functions In C n and Banach Spaces
- Uniformly Convex Functions and a Corresponding Class of Starlike Functions
- On some best bounds for coefficients of several subclasses of biholomorphic mappings in Cn
- THE GROWTH THEOREM FOR $k$ -FOLD SYMMETRIC CONVEX MAPPINGS
- Parametric Representation of Univalent Mappings in Several Complex Variables
- On the Coefficients of Subordinate Functions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Sharp growth theorems and coefficient bounds for starlike mappings in several complex variables
