6 papers · 1 filter
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…
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.
Holomorphic mappings preserving Minkowski functionals
Lukasz Kosinski
We show that the equality for in a neighborhood of a point remains valid for all provided that and are open holomorphic maps, $f(a)=g(a)=0…
Proper holomorphic mappings in the special class of Reinhardt domains
Lukasz Kosinski
A complete characterization of proper holomorphic mappings between domains from the class of all pseudoconvex Reinhardt domains in $\C^2$ with the logarithmic image equal to a stri…