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Graphs that are not complete pluripolar |
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| Authors: | Armen Edigarian Jan Wiegerinck |
| Affiliation: | Institute of Mathematics, Jagiellonian University, Reymonta 4/526, 30-059 Kraków, Poland ; Faculty of Mathematics, University of Amsterdam, Plantage Muidergracht 24, 1018 TV, Amsterdam, The Netherlands |
| Abstract: | Let  be domains in  . Under very mild conditions on  we show that there exist holomorphic functions  , defined on  with the property that  is nowhere extendible across  , while the graph of  over  is not complete pluripolar in  . This refutes a conjecture of Levenberg, Martin and Poletsky (1992). |
| Keywords: | Plurisubharmonic function pluripolar hull complete pluripolar set harmonic measure |
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