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About One Extremal Problem for the Projections of Points on a Unit Circle

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Abstract

Sharp estimates of a product of inner radii for pairwise disjoint domains are obtained. In particular, the extremal problem in the case of any finite number of free poles at the points on rays is solved.

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Correspondence to Andrey L. Targonskii.

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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 15, No. 3, pp. 418–430, July–September, 2018.

The author is grateful to Prof. A. K. Bakhtin for suggesting the problem and useful discussions.

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Targonskii, A.L. About One Extremal Problem for the Projections of Points on a Unit Circle. J Math Sci 241, 90–100 (2019). https://doi.org/10.1007/s10958-019-04409-4

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  • DOI: https://doi.org/10.1007/s10958-019-04409-4

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