3 papers
math.CV2012
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.
math.CV2010
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…
math.CV2007
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…