Abstract
The results of this work are referred to the well-known trend of the geometric theory of functions of complex variable, namely, to the extreme problems on the classes of nonoverlapping domains. It was started by Lavrent’ev’s classical work [1], where, in particular, the problem of the product of conformal radii of two nonoverlapping domains was first solved. Now, this trend is intensively developed. The main results can be found in [2–8] and [9–13]. Our results present a generalization of some results in [7].
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Translated from Russian by V. V. Kukhtin
Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 15, No. 1, pp. 94–102 January–March, 2018.
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Targonskii, A.L., Targonskaya, I.I. Extreme problem for partially nonoverlapping domains on a Riemann sphere. J Math Sci 235, 74–80 (2018). https://doi.org/10.1007/s10958-018-4060-1
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DOI: https://doi.org/10.1007/s10958-018-4060-1