Survey on filtrations (parametric embeddings) of infinitesimal generators

Semigroups of nonlinear operators (47H20) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Groups and semigroups of nonlinear operators (58D07)

Cites Work

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Rigidity and parametric embedding of semi-complete vector fields on the unit disk
Geometric studies on the class \(\mathcal U(\lambda)\)
Contact points and fractional singularities for semigroups of holomorphic self-maps of the unit disc
Convergence characteristics of one-parameter continuous semigroups
Analyticity of semigroups on the right half-plane
Linearization models for complex dynamical systems. Topics in univalent functions, functional equations and semigroup theory.
Some simple sufficient conditions for starlikeness and convexity
The quasihyperbolic metric and associated estimates on the hyperbolic metric
The infinitesimal generators of semigroups of holomorphic maps
Convolution properties of some classes of meromorphic univalent functions
Linear operators between classes of prestarlike functions
Semigroups of analytic functions and composition operators
Semigroups and generators on convex domains with the hyperbolic metric
Differential subordinations concerning starlike functions
On hypergeometric functions and function spaces
On \(\alpha\)-convex functions of order \(\beta\)
Criteria for univalent, starlike and convex functions
Untersuchungen über schlichte Abbildungen
Filtrations of infinitesimal generators
Analytic semigroups of holomorphic mappings and composition operators
Parametric embedding of starlike functions
Generation theory for semigroups of holomorphic mappings in Banach spaces
Univalent solutions of Briot-Bouquet differential equations
Parametric representations of semi-complete vector fields on the unit balls in \(\mathbb{C}^ n\) and in Hilbert space.
The Fekete-Szegö problem for starlike mappings and nonlinear resolvents of the Carathéodory family on the unit balls of complex Banach spaces
Families of inverse functions: coefficient bodies and the Fekete-Szegö problem
Relations of the class \(\mathcal{U}(\lambda )\) to other families of functions
Radii problems for starlike functions and semigroup generators
Loewner chains and nonlinear resolvents of the Carathéodory family on the unit ball in \(\mathbb{C}^n\)
Asymptotic behavior of semigroups of \(p\)-non-expansive and holomorphic mappings on the Hilbert Ball
Semigroups in geometrical function theory
The Denjoy-Wolff theorem
On starlike and convex mappings of a circle
Convex Hulls and Extreme Points of Some Families of Univalent Functions
Φ-Like Holomorphic Functions In C n and Banach Spaces
New Criteria for Univalent Functions
Subordination by Convex Functions
Convex Hulls and Extreme Points of Families of Starlike and Convex Mappings
Filtration of Semi-complete Vector Fields Revisited
Numerical Range of Holomorphic Mappings and Applications
Applications of Livingston‐type inequalities to the generalized Zalcman functional
Complex dynamical systems and the geometry of domains in Banach spaces
Some extremal problems for certain families of analytic functions I
Continuous Semigroups of Holomorphic Self-maps of the Unit Disc
Spirallikeness of shifted hypergeometric functions
On boundary critical points for semigroups of analytic functions
A Coefficient Inequality for Certain Classes of Analytic Functions
Beiträge zur Theorie der schlichten Funktionen.
Integral transforms of certain subclasses of analytic functions
Analyticity and compactness of semigroups of composition operators
The Fekete-Szegö functional and filtration of generators
The Fekete--Szeg\"{o} problem for spirallike mappings and non-linear resolvents in Banach spaces

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