On the product property of the pluricomplex Green function

1996/02/26 by Armen Edigarian, Edigarian, Armen
Mathematics · #32 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:32

paper · pdf · doi:10.48550/arxiv.math/9602202

arxiv created 1996/02/26 · arxiv updated 2009/11/30

Abstract

We prove that the pluricomplex Green function has the product property g_{D1× D2}=max\ g_D1,g_D2\ for any domains D₁⊂\Bbb Cⁿ and D₂⊂\Bbb C^m.

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