TY - JOUR
AU - Ya. V. Zabolotnii
PY - 2020/11/20
Y2 - 2020/11/29
TI - The problem of V. N. Dubinin for symmetric multiconnected domains
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 72
IS - 11
SE - Research articles
DO - 10.37863/umzh.v72i11.6064
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/6064
AB - UDC 517.54We consider a quite general problem from the geometric theory of functions on finding a maximal value of the product of the inner radii of $n$ non-overlapping domains, which contain points of the unit circle and are symmetric with respect to the unit circle, and the $\gamma$-powered inner radius of a domain containing the origin. In this paper, we solve this problem for $n\geq 20$ and $1<\gamma\leq n^{\frac{2}{3}-q(n)}.$
ER -