2 citations · 8 across the 6 of their papers we have counts for
6 papers
Holomorphic maps acting as Kobayashi isometries on a family of geodesics
Filippo Bracci, Łukasz Kosiński, Włodzimierz Zwonek
Consider a holomorphic map between two domains in . Let denote a family of geodesics for the Kobayashi distance, such that acts as an i…
Precise estimates of invariant distances on strongly pseudoconvex domains
Łukasz Kosiński, Nikolai Nikolov, Ahmed Yekta Ökten
Studying the behavior of real and complex geodesics we provide sharp estimates for the Kobayashi distance, the Lempert function, and the Carathéodory distance on $\mathcal{C}^{2,α}…
Coman conjecture for the bidisc
Lukasz Kosinski, Pascal J. Thomas, Wlodzimierz Zwonek
In the paper we show the equality between the Lempert function and the Green function with two poles with equal weights in the bidisc thus giving the positive answer to a conjectur…
The group of automorphisms of the pentablock
L. Kosinski
Answering questions posed in arXiv:1403.1960 we determine the group of holomorphic automorphisms of the pentablock and study its geometry
Nevanlinna-Pick problem and uniqueness of left inverses in convex domains, symmetrized bidisc and tetrablock
Ł. Kosiński, W. Zwonek
In the paper we discuss the problem of uniqueness of left inverses (solutions of two point Nevanlinna-Pick problem) in bounded convex domains, strongly linearly convex domains, the…
The Lempert theorem and the tetrablock
Armen Edigarian, Lukasz Kosinski, Włodzimierz Zwonek
In the paper we show that the Lempert theorem (i.e. the equality between the Lempert function and the Carathéodory distance) holds in the tetrablock, a bounded hyperconvex domain w…