Abstract

Let be a bounded pseudoconvex domain in , and let be the pluricomplex Green function with pole at in . It was conjectured by Błocki and Zwonek that the function given byis convex. Here is the Lebesgue measure in . In this note we give an affirmative answer to this conjecture when is biholomorphic to the unit ball or to the polydisc in , .

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