25 citations · 27 across the 14 of their papers we have counts for
14 papers
Norm Preserving Extensions of Holomorphic Functions Defined on Varieties in
Jim Agler, Lukasz Kosinski, John McCarthy
If is an analytic set in a pseudoconvex domain , we show there is always a pseudoconvex domain that contains and has the property that every bounded holo…
Extension property in the tridisc
Lukasz Kosinski, Wlodzimierz Zwonek
Motivated by works on extension sets in standard domains we introduce a notion of the Carathéodory set that seems better suited for the methods used in proofs of results on charact…
Extensions of bounded holomorphic functions on the tridisk
Lukasz Kosinski, John McCarthy
We study sets in the tridisc that are relatively polynomially convex and have the polynomial extension property. If is one-dimensional, and is either algebraic, or has poly…
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…
Comparison of invariant funcions and metrics
Lukasz Kosinski
In this short note it is shown that all invariant metrics and functions of bounded -smooth domain coincide on an open non-empty subset.
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…