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The Siciak–Zahariuta extremal function as the envelope of disc functionals

2005; Polish Academy of Sciences; Volume: 86; Issue: 2 Linguagem: Inglês

10.4064/ap86-2-8

1730-6272

Finnur Lárusson, Ragnar Sigurðsson,

Analytic and geometric function theory

We establish disc formulas for the Siciak–Zahariuta extremal function of an arbitrary open subset of complex affine space. This function is also known as the pluricomplex Green function with logarithmic growth or a logarithmic pole at infinity. We e