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Non-linearity of the pluricomplex Green function
Author(s):
Frank
Wikström
Journal:
Proc. Amer. Math. Soc.
129
(2001),
1051-1056.
MSC (2000):
Primary 32U35;
Secondary 32F45
Posted:
October 10, 2000
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Abstract:
We consider the pluricomplex Green function with multiple poles as introduced by Lelong. We give a partial solution to a question concerning the set where the multipole Green function coincides with the sum of the corresponding single pole Green functions.
References:
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- P. Lelong, Fonction de Green pluricomplexe et lemme de Schwarz dans les espaces de Banach, J. Math. Pures Appl. 68 (1989), 319-347. MR 91c:46065
- 9.
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Additional Information:
Frank
Wikström
Affiliation:
Department of Mathematics, Umeå University, S-901 87 Umeå, Sweden
Email:
Frank.Wikstrom@math.umu.se
DOI:
10.1090/S0002-9939-00-05683-5
PII:
S 0002-9939(00)05683-5
Keywords:
Pluricomplex Green function with multiple poles,
analytic discs,
invariant distances
Received by editor(s):
June 25, 1999
Posted:
October 10, 2000
Communicated by:
Steven R. Bell
Copyright of article:
Copyright
2000,
American Mathematical Society
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