6 citations · 7 across the 5 of their papers we have counts for
6 papers
Growth Estimates for the Numerical Range of Holomorphic Mappings and Applications
Filippo Bracci, Marina Levenshtein, Simeon Reich +1
The numerical range of holomorphic mappings arises in many aspects of nonlinear analysis, finite and infinite dimensional holomorphy, and complex dynamical systems. In particular,…
Boundary distortion estimates for holomorphic maps
A. Frolova, M. Levenshtein, D. Shoikhet +1
We establish some estimates of the the angular derivatives from below for holomorphic self-maps of the unit disk at one and two fixed points of the unit circle provided there is no…
Covering results and perturbed Roper--Suffridge operators
Mark Elin, Marina Levenshtein
This work is devoted to the advanced study of Roper--Suffridge type extension operators. For a given non-normalized spirallike function (with respect to an interior or boundary poi…
A rigidity theorem for holomorphic generators on the Hilbert ball
Mark Elin, Marina Levenshtein, Simeon Reich +1
We present a rigidity property of holomorphic generators on the open unit ball of a Hilbert space . Namely, if $f\in\Hol (\mathbb{B},H)$ is the generator of a one-p…
Commuting semigroups of holomorphic mappings
Mark Elin, Marina Levenshtein, Simeon Reich +1
Let and be two continuous semigroups of holomorphic self-mappings of the unit disk generat…
Rigidity of holomorphic generators and one-parameter semigroups
M. Elin, M. Levenshtein, D. Shoikhet +1
In this paper we establish a rigidity property of holomorphic generators by using their local behavior at a boundary point of the open unit disk . Namely, if $f\in\mathrm{Ho…