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A weighted extremal function and equilibrium measure

Len Bos, Norman Levenberg, Sione Ma'u, Federico Piazzon

Abstract


We find an explicit formula for the weighted extremal function of $\mathbb{R}^n\subset \mathbb{C}^n$ with weight $(1+x_1^2+\cdots +x_n^2)^{-1/2}$ as well as its Monge-Ampère measure. As a corollary, we compute the Alexander capacity of $\mathbb{RP}^n$.


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References


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DOI: http://dx.doi.org/10.7146/math.scand.a-26266

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