Estimates of the products of inner radii for multiconnected domains
УДК 517.54 We consider the known problem of geometric function theory on extremal partition of the complex plane. For this problem, we obtain estimates for the maximum value of the product of inner radii of $n$ disjoint domains with respect to $n$ arbitrary points in the complex plane. The exact sol...
Збережено в:
| Дата: | 2021 |
|---|---|
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2021
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/6200 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | УДК 517.54
We consider the known problem of geometric function theory on extremal partition of the complex plane. For this problem, we obtain estimates for the maximum value of the product of inner radii of $n$ disjoint domains with respect to $n$ arbitrary points in the complex plane. The exact solutions to this problem are currently known only for $n = 2,3,4.$ In this paper, we found estimates that can be applied to various extremal geometric problems of the theory of functions. |
|---|---|
| DOI: | 10.37863/umzh.v73i1.6200 |