Evolutionary-type estimates for the products of some powers of the inner radii of multiply connected domains

UDC 517.54 We consider a classical problem of the geometric function theory concerning the maximum product of certain powers of the inner radii of $n$ mutually disjoint domains with respect to $n$ fixed points in the complex plane. For this product, several estimates of evolutionary type are e...

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Datum:2026
Hauptverfasser: Zabolotnyi, Ya., Заболотний, Ярослав
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2026
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/8919
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:UDC 517.54 We consider a classical problem of the geometric function theory concerning the maximum product of certain powers of the inner radii of $n$ mutually disjoint domains with respect to $n$ fixed points in the complex plane. For this product, several estimates of evolutionary type are established.
DOI:10.3842/umzh.v77i5.8919