The Fekete-Szegö problem for starlike mappings and nonlinear resolvents of the Carathéodory family on the unit balls of complex Banach spaces
type: Item
instance of: scholarly article
title: The Fekete-Szegö problem for starlike mappings and nonlinear resolvents of the Carathéodory family on the unit balls of complex Banach spaces
zbMATH Open document ID: 1477.30018
author: H. Hamada
author: G. Kohr
author: Mirela Kohr
published in: Analysis and Mathematical Physics
publication date: 2021-08-31T00:00:00Z
Mathematics Subject Classification ID: 30C50
Mathematics Subject Classification ID: 30C80
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 32K12
Mathematics Subject Classification ID: 46G20
zbMATH DE Number: 7388809
zbMATH Keywords: Carathéodory family
zbMATH Keywords: Fekete-Szegő problem
zbMATH Keywords: quasi-convex mapping
zbMATH Keywords: star-like mapping
zbMATH Keywords: subordination
MaRDI profile type: Publication
full work available at URL: s13324-021-00557-6
OpenAlex ID: W3167059530
cites work: Parametric representations of semi-complete vector fields on the unit balls in \(\mathbb{C}^ n\) and in Hilbert space.
cites work: Starlikeness associated with parabolic regions
cites work: Shearing process and an example of a bounded support function in \(S^0(\mathbb B^2)\)
cites work: Variation of Loewner chains, extreme and support points in the class \(S^0\) in higher dimensions
cites work: Support Points and the Bieberbach Conjecture in Higher Dimension
cites work: Numerical Range of Holomorphic Mappings and Applications
cites work: Geometric properties of the nonlinear resolvent of holomorphic generators
cites work: Eine Bemerkung Über Ungerade Schlichte Funktionen
cites work: Q4255124
cites work: Growth, distortion and coefficient bounds for Carathéodory families in \(\mathbb C^n\) and complex Banach spaces
cites work: Parametric Representation of Univalent Mappings in Several Complex Variables
cites work: Extremal Problems for Mappings with g-Parametric Representation on the Unit Polydisc in ℂ n
cites work: Loewner chains and nonlinear resolvents of the Carathéodory family on the unit ball in \(\mathbb{C}^n\)
cites work: Support points and extreme points for mappings with \(A\)-parametric representation in \(\mathbb C^n\)
cites work: Bounded support points for mappings with \(g\)-parametric representation in \(\mathbb{C}^2\)
cites work: Q4444884
cites work: Φ-Like Holomorphic Functions In C n and Banach Spaces
cites work: Sharp growth theorems and coefficient bounds for starlike mappings in several complex variables
cites work: Growth theorems and coefficient bounds for univalent holomorphic mappings which have parametric representation
cites work: Parabolic starlike mappings in several complex variables
cites work: Q5476028
cites work: Support points for families of univalent mappings on bounded symmetric domains
cites work: An unified approach to the Fekete-Szegő problem
cites work: A Coefficient Inequality for Certain Classes of Analytic Functions
cites work: On the Fekete-Szego Problem for Close-to-Convex Functions
cites work: A refinement about estimation of expansion coefficients for normalized biholomorphic mappings
cites work: Q5062815
cites work: The sharp estimates of all homogeneous expansions for a class of quasi-convex mappings on the unit polydisk in \(\mathbb C^{n}\)
cites work: Open problems related to a Herglotz-type formula for vector-valued mappings
cites work: Q4052427
cites work: Generation theory for semigroups of holomorphic mappings in Banach spaces
cites work: Metric domains, holomorphic mappings and nonlinear semigroups
cites work: Q5705865
cites work: Convexity properties of holomorphic mappings in ℂⁿ
cites work: On the parametric representation of univalent functions on the polydisc
cites work: Starlike and convex maps in Banach spaces
cites work: On coefficient estimates for a class of holomorphic mappings
cites work: Coefficient bounds for biholomorphic mappings which have a parametric representation
cites work: Biholomorphic mappings on bounded starlike circular domains
cites work: On the Fekete and Szegö problem for the class of starlike mappings in several complex variables
cites work: Fekete and Szegö problem in one and higher dimensions
cites work: The coefficient inequalities for a class of holomorphic mappings in several complex variables
cites work: Fekete and Szegő problem for a subclass of quasi-convex mappings in several complex variables
cites work: On growth and covering theorems of quasi-convex mappings in the unit ball of a complex Banach space
DOI: 10.1007/S13324-021-00557-6
description: scientific article; zbMATH DE number 7388809