The Problem of V. N. Dubinin for Symmetric Multiconnected Domains
We consider a quite general problem from the geometric theory of functions, namely, the problem of finding the maximal value of the product of inner radii of n nonoverlapping domains that contain points of the unit circle and are symmetric with respect to this circle and the γ power of the inner rad...
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| Veröffentlicht in: | Ukrainian mathematical journal 2021-04, Vol.72 (11), p.1733-1741 |
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| container_title | Ukrainian mathematical journal |
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| creator | Zabolotnii, Ya. V. |
| description | We consider a quite general problem from the geometric theory of functions, namely, the problem of finding the maximal value of the product of inner radii of
n
nonoverlapping domains that contain points of the unit circle and are symmetric with respect to this circle and the
γ
power of the inner radius of a domain containing the origin. The posed problem is solved for
n ≥
20 and
1
<
γ
≤
n
2
3
−
q
n
. |
| doi_str_mv | 10.1007/s11253-021-01884-4 |
| format | Article |
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n
nonoverlapping domains that contain points of the unit circle and are symmetric with respect to this circle and the
γ
power of the inner radius of a domain containing the origin. The posed problem is solved for
n ≥
20 and
1
<
γ
≤
n
2
3
−
q
n
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n
nonoverlapping domains that contain points of the unit circle and are symmetric with respect to this circle and the
γ
power of the inner radius of a domain containing the origin. The posed problem is solved for
n ≥
20 and
1
<
γ
≤
n
2
3
−
q
n
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n
nonoverlapping domains that contain points of the unit circle and are symmetric with respect to this circle and the
γ
power of the inner radius of a domain containing the origin. The posed problem is solved for
n ≥
20 and
1
<
γ
≤
n
2
3
−
q
n
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| ispartof | Ukrainian mathematical journal, 2021-04, Vol.72 (11), p.1733-1741 |
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| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Algebra Analysis Applications of Mathematics Domains Geometry Mathematics Mathematics and Statistics Statistics |
| title | The Problem of V. N. Dubinin for Symmetric Multiconnected Domains |
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