4 citations · 8 across the 6 of their papers we have counts for
7 papers
Caratheodory sets in the tridisk
Lukasz Kosinski, John E. McCarthy
We characterize all algebraic subsets of the tridisk that are Caratheodory sets, that is the intrinsic Caratheodory metric on the set equals the Caratheodory metric for the tridisk…
Lower estimates of the Kobayashi distance and limits of complex geodesics
Łukasz Kosiński, Nikolai Nikolov
It is proved for a strongly pseudoconvex domain in with -smooth boundary that any complex geodesic through every two close points of sufficient…
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…
Complete Norm Preserving Extensions of Holomorphic Functions
Jim Agler, Lukasz Kosinski, John E. McCarthy
We show that for every connected analytic subvariety there is a pseudoconvex set such that every bounded matrix-valued holomorphic function on extends isometrically to…
Slice rigidity property of holomorphic maps Kobayashi-isometrically preserving complex geodesics
Filippo Bracci, Łukasz Kosiński, Włodzimierz Zwonek
In this paper we study the following "slice rigidity property": given two Kobayashi complete hyperbolic manifolds and a collection of complex geodesics of ,…
Construction of labyrinths in pseudoconvex domains
Stéphane Charpentier, Łukasz Kosiński
We build in a given pseudoconvex (Runge) domain of a convex set , every connected component of which is a holomorphically contractible (convex…
Three-point Nevanlinna Pick problem in the polydisc
Lukasz Kosinski
It is very elementary to observe that functions interpolating an extremal two-point Pick problem on the polydisc are just left inverses to complex geodesics. In the present article…