Some inequalities for inner radii of pairwise disjoint domains and open sets (in Ukrainian) 

Author 
targonsk@zu.edu.ua
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; piecewiseseparating transformation; Green’s function;
radial systems of points; logarithmic capacity; variational formula; nonoverlapping domains

DOI 
doi:10.15330/ms.43.1.5160

Reference 
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Pages 
5160

Volume 
43

Issue 
1

Year 
2015

Journal 
Matematychni Studii

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