A separating transformation in the problems of extremal decomposition of the complex plane
DOI:
https://doi.org/10.15407/dopovidi2015.12.007Keywords:
disjoint domains, Dubinin's problem, inequalities, inner radius, “free” polesAbstract
Some extremal problems of the geometric theory of functions of complex-valued variable which are associated with estimates of functionals defined on systems of disjoint domains are studied. In particular, the main attention is paid to the investigation is the well-known Dubinin problem of extremal decomposition of the complex plane.
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