Loewner chains applied to $g$-starlike mappings of complex order of complex Banach spaces

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Infinite-dimensional holomorphy (46G20) Holomorphic maps with infinite-dimensional arguments or values (32K12)

Cites Work

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Covering results and perturbed Roper-Suffridge operators
Distortion theorems of starlike mappings in several complex variables
A modified Roper-Suffridge operator for some subclasses of starlike mappings on Reinhardt domains
Schwarz lemma at the boundary of the unit ball in $\mathbb C^n$ and its applications
Extension operators via semigroups
Extension operators and subordination chains
A modification of the Roper-Suffridge extension operator
Growth theorems and coefficient bounds for univalent holomorphic mappings which have parametric representation
Extreme points, support points and $g$-Loewner chains associated with Roper-Suffridge and Pfaltzgraff-Suffridge extension operators
Sharp growth theorems and coefficient bounds for starlike mappings in several complex variables
Solutions for the generalized Loewner differential equation in several complex variables
The growth and 1/4-theorems for starlike mappings in $\mathbb{C}^ n$
Growth theorem of convex mappings on bounded convex circular domains
Extension operators for locally univalent mappings
On the Roper-Suffridge extension operator.
Univalent mappings associated with the Roper-Suffridge extension operator
Generation theory for semigroups of holomorphic mappings in Banach spaces
Convex mappings on the unit ball of $\mathbb C^ n$
A distortion theorem for subclasses of starlike mappings along a unit direction in $\mathbb C^n$
Growth and distortion results for a class of biholomorphic mapping and extremal problem with parametric representation in $\mathbb{C}^n$
The Fekete-Szegö problem for starlike mappings and nonlinear resolvents of the Carathéodory family on the unit balls of complex Banach spaces
A Schwarz lemma at the boundary on complex Hilbert balls and applications to starlike mappings
Subordination chains and univalence of holomorphic mappings in C$^n$
$g$-Loewner chains, Bloch functions and extension operators in complex Banach spaces
Growth and distortion theorems for almost starlike mappings of complex order $\lambda$
Janowski-starlike mappings of complex order $\lambda$ on the unit ball $B^n$
Evolution families and the Loewner equation. II: Complex hyperbolic manifolds
Rigidity for convex mappings of Reinhardt domains and its applications
A class of Loewner chain preserving extension operators
Loewner chains associated with the generalized Roper-Suffridge extension operator
Nonlinear semigroups and evolution equations
The principle of subordination applied to functions of several variables
Starlike and convex mappings in several complex variables
Starlike and convex maps in Banach spaces
Univalent Subordination Chains in Reflexive Complex Banach Spaces
ON THE PARAMETRIC REPRESENTATION OF STARLIKE MAPS OF THE UNIT BALL IN CN INTO CN
Φ-Like Holomorphic Functions In C n and Banach Spaces
A Distortion Theorem for Biholomorphic Mappings in ℂ 2
Parametric Representation of Univalent Mappings in Several Complex Variables
The Roper-Suffridge extension operator and its applications to convex mappings in ${\mathbb {C}}^{2}$
Numerical Range of Holomorphic Mappings and Applications
Subclasses of biholomorphic mappings associated withg-Loewner chains on the unit ball in ℂⁿ
The generalized Roper-Suffridge extension operator
The generalized Roper-Suffridge extension operator

Loewner chains applied to \(g\)-starlike mappings of complex order of complex Banach spaces