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<p>We consider a classical problem of the geometric theory of functions concerning the maximum product of certain powers of the inner radii of <i>n</i> mutually disjoint domains with respect to <i>n</i> fixed points in the complex plane. For this product, we establish several evolutionary-type estimates.</p>

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Evolutionary-Type Estimates for the Products of Some Powers of the Inner Radii of Multiply Connected Domains

  • 期刊论文

  • 发表日期：

    2025年10月30日

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  • Yaroslav Zabolotnyi

摘要

We consider a classical problem of the geometric theory of functions 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, we establish several evolutionary-type estimates.