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Approximation of plurisubharmonic functions by multipole Green functions

Author(s): Evgeny A. Poletsky
Journal: Trans. Amer. Math. Soc. 355 (2003), 1579-1591.
MSC (2000): Primary 32U35; Secondary 32U15
Posted: November 18, 2002
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Abstract: For a strongly hyperconvex domain $D\subset{{\mathbb{C}}}^n$ we prove that multipole pluricomplex Green functions are dense in the cone in $L^1(D)$ of negative plurisubharmonic functions with zero boundary values.

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Additional Information:

Evgeny A. Poletsky
Affiliation: Department of Mathematics, 215 Carnegie Hall, Syracuse University, Syracuse, New York 13244

DOI: 10.1090/S0002-9947-02-03215-4
PII: S 0002-9947(02)03215-4
Keywords: Pluricomplex Green functions
Received by editor(s): August 28, 2001
Posted: November 18, 2002
Additional Notes: The author was partially supported by NSF Grant DMS-9804755
Copyright of article: Copyright 2002, American Mathematical Society

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