Alexander’s projective capacity for polydisks and ellipsoids in
Mieczysław Jędrzejowski (1995)
Annales Polonici Mathematici
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Alexander’s projective capacity for the polydisk and the ellipsoid in is computed. Sharper versions of two inequalities concerning this capacity and some other capacities in are given. A sequence of orthogonal polynomials with respect to an appropriately defined measure supported on a compact subset K in is proved to have an asymptotic behaviour in similar to that of the Siciak homogeneous extremal function associated with K.