A weighted extremal function and equilibrium measure


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




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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How to Cite

Bos, L., Levenberg, N., Ma’u, S., & Piazzon, F. (2017). A weighted extremal function and equilibrium measure. MATHEMATICA SCANDINAVICA, 121(2), 243–262. https://doi.org/10.7146/math.scand.a-26266