Width asymptotics for a pair of Reinhardt domains

A. Aytuna; A. Rashkovskii; V. Zahariuta

A. Aytuna ; A. Rashkovskii ; V. Zahariuta

Annales Polonici Mathematici, Tome 79 (2002), p. 31-38 / Harvested from The Polish Digital Mathematics Library

Résumé

For complete Reinhardt pairs “compact set - domain” K ⊂ D in ℂⁿ, we prove Zahariuta’s conjecture about the exact asymptotics $l n d_{s} (A_{K}^{D}) - {((n! s) / τ (K, D))}^{1 / n}$ , s → ∞, for the Kolmogorov widths $d_{s} (A_{K}^{D})$ of the compact set in C(K) consisting of all analytic functions in D with moduli not exceeding 1 in D, τ(K,D) being the condenser pluricapacity of K with respect to D.

Publié le : 2002-01-01

Zbl 1009.32002

EUDML-ID : urn:eudml:doc:280526

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     year = {2002},
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A. Aytuna; A. Rashkovskii; V. Zahariuta. Width asymptotics for a pair of Reinhardt domains. Annales Polonici Mathematici, Tome 79 (2002) pp. 31-38. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap78-1-4/