The pluripolar hull of \(\{w=e^{-1/z}\}\)
type: Item
instance of: scholarly article
title: The pluripolar hull of \(\{w=e^{-1/z}\}\)
zbMATH Open document ID: 1021.32013
DOI: 10.1007/BF02384498
published in: Arkiv för Matematik
publication date: 2003-06-16T00:00:00Z
review text: The set \(E=\{(z,w):w=e^{-1/z},z\neq 0\}\) is shown to be completely pluripolar (i.e., the \(-\infty\)-set of some plurisubharmonic function), which answers a question of \textit{A. Sadullaev }. The result remains valid if \(e^{-1/z}\) is replaced by certain other holomorphic functions with an essential singularity at \(0\). The proof follows the lines of argument of \textit{N. Levenberg} and \textit{E. A. Poletsky} [Mich. Math. J. 46, No. 1, 151-162 (1999; Zbl 0963.32024)].
Mathematics Subject Classification ID: 32U05
Mathematics Subject Classification ID: 31C10
zbMATH DE Number: 1928893
zbMATH Keywords: plurisubharmonic function
zbMATH Keywords: pluripolar set
zbMATH Keywords: pluri-thin
zbMATH Keywords: pluripolar hull
zbMATH Keywords: harmonic measure
author: Jan Wiegerinck
MaRDI profile type: Publication
cites work: Q4208865
cites work: Pluripolar hulls
cites work: Q4298658
cites work: Q3931689
cites work: Ensembles pluripolaires exceptionnels pour la croissance partielle des fonctions holomorphes
description: scientific article; zbMATH DE number 1928893