In this paper, we will give the Fekete-Szegö inequality for the mappings f in various
subclasses of normalized univalent mappings which are the first elements of g-Loewner …

We introduce a family of natural normalized Loewner chains in the unit ball, which we call
“geräumig”—spacious—which allow us to construct, by means of suitable variations, other …

Abstract Let A ∈ L (C^ n) A∈ L (C n) be a linear operator such that k_+(A)< 2m (A) k+(A)< 2
m (A), where k_+(A) k+(A) is the upper exponential index of AA and m (A)=\min {R ⟨ A (z), z …

Solving the Loewner PDE in complete hyperbolic starlike domains of CN - ScienceDirect Skip to
main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

For a linear operator A ∈ L (C^ n) A∈ L (C n), let k_+(A) k+(A) be the upper exponential
index of AA and let m (A)=\min {R ⟨ A (z), z ⟩: ‖ z ‖= 1\} m (A)= min R< A (z), z>:‖ z‖= 1 …

In this paper we study various properties of nonlinear resolvents of holomorphic mappings in
the Carathéodory family M (B n), where B n is the Euclidean unit ball in C n. First, we prove …

We prove that given a Herglotz vector field on the unit ball of Cn of the form H (z, t)=(a1z1,…,
anzn)+ O (| z| 2) with Reaj< 0 for all j, its evolution family admits an associated Loewner …

We find a solution to the Loewner chain equation in the case when the infinitesimal
generator satisfies h (0, t)= 0, Dh (0, t)= A for any A∈ L (Cn, Cn) with m (A)> 0. We also study …

Let Y be a complex Banach space and let r ≥ 1 r≥ 1. In this paper, we are concerned with
an extension operator\varPhi _ α, β Φ α, β that provides a way of extending a locally …

In this paper we present a historical and scientific account of the development of the theory
of the Löwner–Kufarev classical and stochastic equations spanning the 90-year period from …