5 citations · 5 across the 14 of their papers we have counts for
16 papers
On one filtration of holomorphic functions
Fiana Jacobzon
In this work we consider a family of function classes constructed by means of the Gauss hypergeometric function . We demonstrate that this fam…
Nonlinear resolvents in the unit disk: geometry and dynamics
Mark Elin, Fiana Jacobzon
In this paper we present a unified approach to the study of geometric and dynamic properties of nonlinear resolvents of holomorphic generators. The idea is to apply the distortion…
Multidimensional analogs of the Fekete--Szegö functional
Mark Elin, Fiana Jacobzon
In this paper we introduce the Fekete--Szegö type mapping in the open unit ball of a complex Banach space. % and study its geometric and analytical properties. All previously studi…
On the hypergeometric function and families of holomorphic functions
Mark Elin, Fiana Jacobzon
In this work, we examine one two-parameter family of sets consisting of functions holomorphic in the unit disk, previously investigated by several mathematicians. We focus on the s…
Survey on filtrations (parametric embeddings) of infinitesimal generators
Mark Elin, Fiana Jacobzon
This work is devoted to the so-called filtration theory of semigroup generators in the unit disk. It should be noted that numerous filtrations studied to nowdays have been introduc…
The Fekete--Szegö problem for spirallike mappings and non-linear resolvents in Banach spaces
Mark Elin, Fiana Jacobzon
We study the Fekete--Szegö problem on the open unit ball of a complex Banach space. Namely, the Fekete--Szegö inequalities are proved for the class of spirallike mappings relative…
Note on the Fekete--Szegö problem for spirallike mappings in Banach spaces
Mark Elin, Fiana Jacobzon
In this note we present a remark on the paper "On the coefficient inequalities for a class of holomorphic mappings associated with spirallike mappings in several complex variables"…
The Fekete--Szegö problem and filtration of generators
Mark Elin, Fiana Jacobzon, Nikola Tuneski
In this paper we study an interpolation problem involving the Fekete--Szegö functional. It turns out that this problem links to the so-called filtration of infinitesimal generators…
Estimates on some functionals over non-linear resolvents
Mark Elin, Fiana Jacobzon
Estimation of linear and quadratic functionals over different classes of univalent functions is one of the classical problems in geometric function theory. In this paper we solve t…
Geometric features of nonlinear resolvents in the unit disk
Mark Elin, Fiana Jacobzon
We study nonlinear resolvents of holomorphic generators of one-parameter semigroups acting in the open unit disk. The class of nonlinear resolvents can be studied in the framework…
Families of inverse functions: coefficient bodies and the Fekete--Szegö problem
Mark Elin, Fiana Jacobzon
In this paper we establish the coefficient bodies for a wide class of families of inverse functions. We also completely describe those functions that provide boundary points of tha…
Linearization of holomorphic semicocycles in Banach spaces
Mark Elin, Fiana Jacobzon, Guy Katriel
We consider holomorphic semicocycles on the open unit ball in a Banach space taking values in a Banach algebra. We establish criteria for a semicocycle to be linearizable, that is,…
Continuous and holomorphic semicocycles in Banach spaces
Mark Elin, Fiana Jacobzon, Guy Katriel
We study some fundamental properties of semicocycles over semigroups of self-mappings of a domain in a Banach space. We prove that any semicocycle over a jointly continuous semigro…
Non-commutative holomorphic semicocycles
Mark Elin, Fiana Jacobzon, Guy Katriel
This paper studies holomorphic semicocycles over semigroups in the unit disk, which take values in an arbitrary unital Banach algebra. We prove that every such semicocycle is a sol…
Analyticity of semigroups on the right half-plane
Mark Elin, Fiana Jacobzon
This paper is devoted to the study of semigroups of composition operators and semigroups of holomorphic mappings. We establish conditions under which these semigroups can be extend…
Parabolic type semigroups: asymptotics and order of contact
Mark Elin, Fiana Jacobzon
We study the asymptotic behavior of parabolic type semigroups acting on the unit disk as well as those acting on the right half-plane. We use the asymptotic behavior to investigate…