3 citations · 4 across the 4 of their papers we have counts for
5 papers · 1 filter
A Gehring-Hayman inequality for strongly pseudoconvex domains
Łukasz Kosiński, Nikolai Nikolov, Pascal J. Thomas
We prove that in a strongly pseudoconvex domain with smooth boundary, then the length of a geodesic for the Kobayashi-Royden infinitesimal metric between two points is bounded by a…
Wild boundary behaviour of holomorphic functions in domains of
Stéphane Charpentier, Łukasz Kosiński
Given a domain of holomorphy in , , we show that the set of holomorphic functions in whose cluster sets along any finite length paths to the boundary…
A uniform boundedness principle in pluripotential theory
Łukasz Kosiński, Étienne Martel, Thomas Ransford
For families of continuous plurisubharmonic functions we show that, in a local sense, separately bounded above implies bounded above.
Nevanlinna-Pick interpolation problem in the ball
Łukasz Kosiński, Włodzimierz Zwonek
We solve a three point Nevanlinna-Pick problem in the Euclidean ball. In particular, we determine a class of rational functions that interpolate this problem.
Extremal holomorphic maps in special classes of domains
Łukasz Kosiński, Włodzimierz Zwonek
In the paper we discuss three different notions of extremal holomorphic mappings: weak -extremals, -extremals and -complex geodesics. We discuss relations between them in…