Linear-invariante Familien analytischer Funktionen. I

DOI10.1007/BF01344077zbMath0128.30105OpenAlexW4238484775MaRDI QIDQ2394691

Christian Pommerenke

Publication date: 1964

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/161181

zbMATH Keywords

complex functions

Related Items

Quasiconformal extension of integral transforms of analytic and harmonic mappings, Study of generalized \(q\)-close-to-convex functions related to parabolic domain, g −Loewner chain associated with Muir-type extension operator, The Bohr radius and its modifications for linearly invariant families of analytic functions, Quasiconformal distortion on arcs, On the lower spherical order for locally univalent meromorphic functions, A metric that better approximates the hyperbolic metric, Growth and two-point distortion for biholomorphic mappings of the ball, Generalized Meixner-Pollaczek polynomials, Behavior of domain constants under conformal mappings, Conformality and Semiconformality of a Function Holomorphic in the Disk, The Schwarzian derivatives of harmonic functions and univalence conditions, The Roper-Suffridge extension operator and classes of biholomorphic mappings, Conformal radius: at the interface of traditions, Level sets of the hyperbolic derivative for analytic self-maps of the unit disk, On Becker's univalence criterion, Locally univalent functions with locally univalent derivatives, Harmonic pre-Schwarzian and its applications, Eventually areally mean p-valent functions, Generalized harmonic Koebe functions, Differential inequalities in linear- and affine-invariant families of harmonic mappings, Two-point distortion for Nehari functions, Nehari type theorems and uniform local univalence of harmonic mappings, Ahlfors-Weill extensions for harmonic mappings, Abschätzungen für verallgemeinerte Schwarzsche Derivierte in linear- invarianten Funktionenfamilien, Locally convex functions and the Schwarzian derivative, Majorization-subordination theorems for locally univalent functions, Growth and coefficient estimates for uniformly locally univalent functions on the unit disk., Linear invariance of locally biholomorphic mappings in the unit ball of a JB\(^\ast\)-triple, Linearly-invariant families and generalized Meixner-Pollaczek polynomials, Hyperbolic metric, curvature of geodesics and hyperbolic discs in hyperbolic plane domains, Polymorphic functions for groups of divergence type, On the Bieberbach and Koebe constants for sector domains and sector disks, Doubly close-to-convex functions., Koebe invariant functions and extremal problems for holomorphic mappings in the unit ball of \(\mathbb C^n\), On analytic functions of bounded boundary rotation of complex order, Schwarzian derivatives and uniform local univalence, On the lower order of locally univalent functions, Conformal images of tangential and nontangential arcs, Two-point distortion bounds for biholomorphic mappings of the ball in \(\mathbb C^n\), The Schwarzian derivative of harmonic mappings in the plane, On Close-to-Convex Analytic Functions, Distortion and covering theorems of pluriharmonic mappings, The derivative of a holomorphic function and estimates of the Poincaré density, Affine and linear invariant families of harmonic mappings, Norm order and geometric properties of holomorphic mappings in \(\mathbb{C}^n\), On certain analytic functions related with strongly close-to-convex functions, A theorem on the regularity of decrease in linearly invariant families of functions, The order of a linearly invariant family in \(\mathbb{C}^n\), Radii of covering disks for locally univalent harmonic mappings, A class of Weierstrass-Enneper lifts of harmonic mappings, The Bagemihl theorem for the skeleton of a polydisk and its applications, Bifurcations and new uniqueness criteria for critical points of hyperbolic derivatives, Pre-schwarzian and Schwarzian derivatives of harmonic mappings, Univalent functions with univalent Gelfond-Leontev derivatives, Two-point distortion theorems for harmonic mappings, Growth and distortion theorems for linearly invariant families on homogeneous unit balls in \(\mathbb C^n\), Univalent harmonic mappings and Hardy spaces, Roper-Suffridge extension operator and the lower bound for the distortion, Schwarzian derivative criteria for valence of analytic and harmonic mappings, A p-valent function with a non-normal derivative, On the univalence of certain integral for harmonic mappings, Banach spaces of locally schlicht functions with the Hornich operations, Trace-order and a distortion theorem for linearly invariant families on the unit ball of a finite dimensional JB\(^{\ast }\) -triple, Boundary behaviour and linear invariant families, Multivalent convex functions, A family of functions connected with a linear-fractional transformation of the unit disk, Some operators connected with a linear-fractional transformation of the unit disk, Estimates of the \(n\)th divided difference, Univalence of integral operators on neighborhoods of analytic functions, Estimates on integral means of the derivatives of univalent functions, Radius of convexity for integral operators involving Hornich operations, Criteria for univalence and quasiconformal extension of harmonic mappings in terms of the Schwarzian derivative, A proof of Campbell's subordination conjecture, Uniformly perfect sets and the Poincaré metric, Criteria for univalence and quasiconformal extension for harmonic mappings on planar domains, Quasi-invariant domain constants, On concave univalent functions, ON REGULARITY THEOREMS FOR LINEARLY INVARIANT FAMILIES OF HARMONIC FUNCTIONS, Majorization-Subordination Theorems for Locally Univalent Functions. III, Coefficient inequalities related with typically real functions, Lower and upper order of harmonic mappings, Linear spaces and linear-invariant families of locally univalent analytic functions, A coefficient inequality for Bloch functions with applications to uniformly locally univalent functions, Euclidean maximum moduli of plane domains and their applications, Distortion under conformal and quasiconformal mappings, Functions of bounded boundary rotation, A normed linear space containing the schlicht functions, Linearly Invariant Families of Holomorphic Mappings in . Transition to Other Dimensions, Sharpness of certain Campbell and Pommerenke estimates, Two-point distortion theorems for harmonic and pluriharmonic mappings, Conformal invariants and higher-order Schwarz lemmas, Integral transforms for logharmonic mappings, Generalized alpha-close-to-convex functions, A new approach for the univalence of certain integral of harmonic mappings, On the Koebe and Bieberbach constants for a hyperbolic planar domain, On analytic functions related with generalized Robertson functions, Univalence discs of harmonic locally quasiconformal mappings, and harmonic Bloch functions, On the hyperbolic order, Distortion theorems for biholomorphic convex mappings in \({\mathbb C}^n\), On uniformly starlike functions, Univalent analytic functions and the Poincaré metric, Linearly invariant families, Bloch functions and uniformly perfect sets, John disks and extension of maps

Cites Work

• Boundary behaviour and normal meromorphic functions
• On the radial order of subharmonic functions
• An inequality in the theory of conformal mapping
• Ensembles exceptionnels
• A characterization of the maximum modulus of functions regular at the origin
• Close-to-convex schlicht functions
• Sur la représentation conforme des bandes
• Zur Methode der variablen Gebiete bei der Randverzerrung
• On the Boundary Behavior of a Conformal Map
• On Finitely Mean Valent Functions
• On Distortion at the Boundary of a Conformal Map
• On the Derivatives of Functions Analytic In the Unit Circle and Their Radii of Univalence and of p-Valence
• Étude de la représentation conforme au voisinage de la frontière
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item