The pluripolar hull of {w=exp(-1/z)}

Jan Wiegerinck


In this paper we show that the pluripolar hull of E= {w=exp(-1/z)} is equal to E. This implies that E is pluri-thin at 0, which answers a question of Sadullaev. The result remains valid if exp(-1/z) is replaced by certain other holomorphic functions with an essential singularity at 0.


Plurisubharmonic function, Pluripolar set, Pluri-thin, Pluripolar hull , Harmonic measure

AMS 1991 Subj. Classification

Primary: 32F05; Secondary: 31C10 ~