Estimates of the inner radii of non-overlapping domains
- Авторлар: Denega I.1
-
Мекемелер:
- Institute of Mathematics of the National Academy of Sciences of Ukraine
- Шығарылым: Том 242, № 6 (2019)
- Беттер: 787-795
- Бөлім: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243041
- DOI: https://doi.org/10.1007/s10958-019-04516-2
- ID: 243041
Дәйексөз келтіру
Аннотация
Some extremal problems of the geometric theory of functions of a complex variable related to the estimates of functionals defined on systems of non-overlapping domains are considered. Till now, many such problems have not been solved, though some partial solutions are available. In the paper, the improved method is proposed for solving the problems on extremal decomposition of the complex plane. The main results generalize and strengthen some known results in the theory of non-overlapping domains with free poles to the case of an arbitrary arrangement of systems of points on the complex plane.
Авторлар туралы
Iryna Denega
Institute of Mathematics of the National Academy of Sciences of Ukraine
Хат алмасуға жауапты Автор.
Email: iradenega@gmail.com
Украина, Kiev