11 citations · 16 across the 19 of their papers we have counts for
24 papers
On discs in bidiscs
Josip Globevnik
Let U be the closed unit disc in C. We show that there is no continuous map F:U-->U^2, holomorphic on Int(U) and such that F(bU) = b(U^2).
Complete embedded complex curves in the ball of can have any topology
Antonio Alarcon, Josip Globevnik
In this paper we prove that the unit ball of admits complete properly embedded complex curves of any given topological type. Moreover, we provide exampl…
On holomorphic functions with cluster sets of finite linear measure
Josip Globevnik, David Kalaj
We prove that if f is a holomorphic function on the open unit disc in C whose cluster set C(f) has finite linear measure and is such that the complement of C(f) has finitely many c…
Embedding complete holomorphic discs through discrete sets
Josip Globevnik
Let U be the open unit disc in C and let B be the open unit ball in C^2. We prove that every discrete subset of B is contained in the range f(U) of a complete, proper holomorphic e…
A construction of complete complex hypersurfaces in the ball with control on the topology
Antonio Alarcon, Josip Globevnik, Francisco J. Lopez
Given a closed complex hypersurface and a compact subset , we prove the existence of a pseudoconvex Runge domain in $…
Holomorphic functions unbounded on curves of finite length
Josip Globevnik
Given a pseudoconvex domain D in C^N, N>1, we prove that there is a holomorphic function f on D such that the lengths of paths p: [0,1]--> D along which Re f is bounded above, with…