On an inequality in the problem of non-overlapping domains

2013/12/05 by A. K. Bakhtin, Bakhtin, A. K., G. P. Bakhtina +3
Mathematics · #30C20 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:30C20

paper · pdf · doi:10.48550/arxiv.1312.1540

5 pages, in Russian. 17 references

arxiv created 2013/12/05 · arxiv updated 2013/12/06

Abstract

Paper is devoted to extremal problems in geometric function theory of complex variables associated with estimates of functionals defined on the systems of non-overlapping domains. In particular, we strengthen some known result in this subject.

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• Generalization of some extremal problems on non-overlapping domains with free poles
• Estimates of product of inner radii of mutually non-overlapping domains in multidimensional complex spaces
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