2 citations · 5 across the 5 of their papers we have counts for
5 papers · 1 filter
Composition operators on the polydisc
Lukasz Kosinski
We study the boundedness of composition operators on the weighted Bergman spaces and the Hardy space over the polydisc. For arbitrary polydisc we prove the rank sufficiency theorem…
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…
Spectral Nevanlinna-Pick problem and weak extremals in the symmetrized bidisc
Lukasz Kosinski
The main goal of the paper is to study -extremal mappings in the symmetrized bidisc showing that they are rational and $\GG_2$-inner which, in particular, answers a question pos…
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
Lempert Theorem for stronly linearly convex domains with smooth boundaries
L. Kosinski, T. Warszawski
The aim of this paper is to present a detailed and slightly modified version of the proof of the Lempert Theorem in the case of non-planar stronlgy linearly convex domains with C^2…