3 papers
math.CV2004
On the product property for the Lempert function
N. Nikolov, W. Zwonek
We study the problem of the product property for the Lempert function with many poles and consider some properties of this function mostly for plane domains.
math.CV2004
The multipole Lempert function is monotone under inclusion of pole sets
Nikolai Nikolov, Peter Pflug
We prove the the multipole Lempert function is monotone under inclusion of pole sets.
math.CV2002
Behavior of the Bergman kernel and metric near convex boundary points
Nikolai Nikolov, Peter Pflug
The boundary behavior of the Bergman metric near a convex boundary point of a pseudoconvex domain $D\subset\CC^n$ is studied; it turns out that the Bergman metric at points $…