@article{Bakhtin_Zabolotnii_2021, title={Estimates of the products of inner radii for multiconnected domains}, volume={73}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/6200}, DOI={10.37863/umzh.v73i1.6200}, abstractNote={<p>УДК 517.54</p> <p>We consider the known problem of geometric function theory on extremal partition of the complex plane. <br>For this problem, we obtain estimates for the maximum value of the product of inner radii of $n$ disjoint domains with respect to $n$ arbitrary points in the complex plane. <br>The exact solutions to this problem are currently known only for $n = 2,3,4.$ <br>In this paper, we found estimates that can be applied to various extremal geometric problems of the theory of functions.</p>}, number={1}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Bakhtin , A. K. and Zabolotnii, Ya. V.}, year={2021}, month={Jan.}, pages={9 - 22} }