Some inequalities for inner radii of pair-wise disjoint domains and open sets (in Ukrainian) |
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| Author |
targonsk@zu.edu.ua
Zhytomyr Ivan Franko State University
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| 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.
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| Keywords |
inner radius of domain; quadratic differential; piecewise-separating transformation; Green’s function;
radial systems of points; logarithmic capacity; variational formula; non-overlapping domains
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| DOI |
doi:10.15330/ms.43.1.51-60
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| Reference |
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| Pages |
51-60
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| Volume |
43
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| Issue |
1
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| Year |
2015
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |