Alexander’s projective capacity for polydisks and ellipsoids in $ℂ^N$

Mieczysław Jędrzejowski

Alexander’s projective capacity for polydisks and ellipsoids in

ℂ^{N}

Mieczysław Jędrzejowski

Annales Polonici Mathematici, Tome 62 (1995), p. 245-264 / Harvested from The Polish Digital Mathematics Library

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Résumé

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.

Publié le : 1995-01-01

Zbl 0838.31008

EUDML-ID : urn:eudml:doc:262759

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     title = {Alexander's projective capacity for polydisks and ellipsoids in $$\mathbb{C}$^N$
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     journal = {Annales Polonici Mathematici},
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     year = {1995},
     pages = {245-264},
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Mieczysław Jędrzejowski. Alexander’s projective capacity for polydisks and ellipsoids in $ℂ^N$
            . Annales Polonici Mathematici, Tome 62 (1995) pp. 245-264. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv62z3p245bwm/

Bibliographie

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