10 citations · 26 across the 16 of their papers we have counts for
19 papers
Geometric properties of the nonlinear resolvent of holomorphic generators
Mark Elin, David Shoikhet, Toshiyuki Sugawa
Let be the infinitesimal generator of a one-parameter semigroup of holomorphic self-mappings of the open unit disk . In this paper we study…
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,…
Abel averages and holomorphically pseudo-contractive maps in Banach spaces
Filippo Bracci, Yuri Kozitsky, David Shoikhet
A class of maps in a complex Banach space is studied, which includes both unbounded linear operators and nonlinear holomorphic maps. The defining property, which we call {\sl pseud…
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…
Growth estimates for pseudo-dissipative holomorphic maps in Banach spaces
Filippo Bracci, Mark Elin, David Shoikhet
In this paper we introduce a class of pseudo-dissipative holomorphic maps which contains, in particular, the class of infinitesimal generators of semigroups of holomorphic maps on…
Power convergence of Abel averages
Yuri Kozitsky, David Shoikhet, Jaroslav Zemanek
Necessary and sufficient conditions are presented for the Abel averages of discrete and strongly continuous semigroups, and , to be power convergent in the operator norm…