Geodesic
Alexander's projective capacity for polydisks and ellipsoids in $ℂ^N$
Annales Polonici Mathematici, Tome 62 (1995) no. 3, pp. 245-264

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Alexander's projective capacity for the polydisk and the ellipsoid in $ℂ^N$ is computed. Sharper versions of two inequalities concerning this capacity and some other capacities in $ℂ^N$ are given. A sequence of orthogonal polynomials with respect to an appropriately defined measure supported on a compact subset K in $ℂ^N$ is proved to have an asymptotic behaviour in $ℂ^N$ similar to that of the Siciak homogeneous extremal function associated with K.
DOI : 10.4064/ap-62-3-245-264
Keywords: ellipsoid, projective capacity, extremal function

Mieczysław Jędrzejowski 1

1 
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Mieczysław Jędrzejowski. Alexander's projective capacity for polydisks and ellipsoids in $ℂ^N$. Annales Polonici Mathematici, Tome 62 (1995) no. 3, pp. 245-264. doi: 10.4064/ap-62-3-245-264

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