Nikolai Nikolov
State University of Library Studies and Information Technologies
arXiv: Complex Variables | 2007
Nikolai Nikolov; Peter Pflug; Włodzimierz Zwonek
We prove that the Lempert function of the symmetrized polydisc in dimension greater than two is not a distance.
arXiv: Complex Variables | 2003
Nikolai Nikolov; Peter Pflug
The boundary behavior of the Bergman metric near a convex boundary point z 0 of a pseudoconvex domain D C C is studied. It turns out that the Bergman metric at points z ∈ D in the direction of a fixed vector X 0 E C n tends to infinity, when z is approaching z 0 , if and only if the boundary of D does not contain any analytic disc through z 0 in the direction of X 0 .
Annali di Matematica Pura ed Applicata | 2017
Nikolai Nikolov; Lyubomir Andreev
Universal upper bounds for the Kobayashi and quasi-hyperbolic distances near Dini-smooth boundary points of domains in
Forum Mathematicum | 2016
Nikolai Nikolov; Pascal J. Thomas; Maria Trybuła
arXiv: Complex Variables | 2014
Nikolai Nikolov; Maria Trybuła
{{\mathbb {C}}}^n
Monatshefte für Mathematik | 2015
Nikolai Nikolov; Maria Trybuła
International Journal of Mathematics | 2006
Nikolai Nikolov; Peter Pflug
Cn and
Complex Variables and Elliptic Equations | 2016
Nikolai Nikolov; Maria Trybuła; Lyubomir Andreev
Complex Analysis and Operator Theory | 2016
Nikolai Nikolov; Pascal J. Thomas; Duc-Anh Tran
{\mathbb {R}}^n
arXiv: Complex Variables | 2005
Nikolai Nikolov; Włodzimierz Zwonek
