Approximation of plurisubharmonic functions by multipole Green functions

Evgeny A. Poletsky

doi:10.1090/S0002-9947-02-03215-4

Approximation of plurisubharmonic functions by multipole Green functions

Evgeny A. Poletsky

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

For a strongly hyperconvex domain D ⊂ ℂⁿwe prove that multipole pluricomplex Green functions are dense in the cone in L¹ (D) of negative plurisubharmonic functions with zero boundary values.

Original language	English (US)
Pages (from-to)	1579-1591
Number of pages	13
Journal	Transactions of the American Mathematical Society
Volume	355
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9947-02-03215-4
State	Published - Apr 2003

Keywords

Pluricomplex Green functions

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-02-03215-4

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abstract = "For a strongly hyperconvex domain D ⊂ ℂnwe prove that multipole pluricomplex Green functions are dense in the cone in L1 (D) of negative plurisubharmonic functions with zero boundary values.",

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Approximation of plurisubharmonic functions by multipole Green functions

Abstract

Keywords

ASJC Scopus subject areas

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