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- Title
Estimates of the inner radii of non-overlapping domains.
- Authors
Denega, Iryna
- Abstract
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.
- Subjects
MATHEMATICAL complex analysis; GEOMETRIC function theory; EXTREMAL problems (Mathematics); RADIUS (Geometry); DOMAIN decomposition methods; FUNCTIONALS; GREEN'S functions; ESTIMATES
- Publication
Journal of Mathematical Sciences, 2019, Vol 242, Issue 6, p787
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-019-04516-2