# Some inequalities for inner radii of pair-wise disjoint domains and open sets (in Ukrainian)

Author
Zhytomyr Ivan Franko State University
Abstract
Sharp estimates of product of inner radii for pairwise disjoint domains and open sets are obtained. In particular, we solve an extremal problem in the case of arbitrary finite number of rays containing arbitrary even number of free poles.
Keywords
inner radius of domain; quadratic differential; piecewise-separating transformation; Green’s function; radial systems of points; logarithmic capacity; variational formula; non-overlapping domains
DOI
doi:10.15330/ms.43.1.51-60
Reference
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Pages
51-60
Volume
43
Issue
1
Year
2015
Journal
Matematychni Studii
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