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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A counterexample to the existence of a local plurisubharmonic peak function at infinity


Author: Sung-Hee Park
Journal: Proc. Amer. Math. Soc. 133 (2005), 1463-1467
MSC (2000): Primary 32T40; Secondary 32F45
Published electronically: December 6, 2004
MathSciNet review: 2111946
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Abstract: We give an example of an unbounded pseudoconvex Reinhardt domain in $\mathbb{C} ^n, n\ge 4$, which is Kobayashi complete but admits no local plurisubharmonic peak function at infinity.


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Additional Information

Sung-Hee Park
Affiliation: Department of Mathematics, Chonbuk National University, Chonju (Chonbuk), 560-756, Republic of Korea
Email: wshpark@mail.chonbuk.ac.kr

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07699-3
PII: S 0002-9939(04)07699-3
Keywords: Local plurisubharmonic peak function at infinity, local plurisubharmonic antipeak function at infinity
Received by editor(s): June 3, 2003
Received by editor(s) in revised form: February 1, 2004
Published electronically: December 6, 2004
Communicated by: Mei-Chi Shaw
Article copyright: © Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.