3 citations · 4 across the 4 of their papers we have counts for
7 papers
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…
Cyclic polynomials in Dirichlet-type spaces in the unit ball of
Łukasz Kosiński, Dimitrios Vavitsas
We characterize polynomials that are cyclic in Dirichlet-type spaces in the unit ball in
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.
Cyclic polynomials in two variables
Catherine Bénéteau, Greg Knese, Łukasz Kosiński +3
We give a complete characterization of polynomials in two complex variables that are cyclic with respect to the coordinate shifts acting on Dirichlet-type spaces in the bidisk, whi…
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…