Proceedings of the American Mathematical Society

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

Author(s): Sung-Hee Park
Journal: Proc. Amer. Math. Soc. 133 (2005), 1463-1467.
MSC (2000): Primary 32T40; Secondary 32F45
Posted: December 6, 2004
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 32T40, 32F45

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

DOI: 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
Posted: December 6, 2004
Communicated by: Mei-Chi Shaw
Copyright of article: Copyright 2004, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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