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<p>The problems on the extremal decomposition of the complex plane with free poles of corresponding quadratic differentials on ray systems of points have been analyzed. Sharp estimates for the products of the inner radii of domains satisfying certain conditions of partial intersection with respect to a given ray system of points have been obtained.</p>

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ON THE PRODUCTS OF INNER RADII OF DOMAINS SATISFYING THE PARTIAL-INTERSECTION CONDITION

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • Iryna Denega,
  • Yaroslav Zabolotnyi

摘要

The problems on the extremal decomposition of the complex plane with free poles of corresponding quadratic differentials on ray systems of points have been analyzed. Sharp estimates for the products of the inner radii of domains satisfying certain conditions of partial intersection with respect to a given ray system of points have been obtained.