Abstract
It is shown that a well-known expression for the capacity of the preimage of a compact set under a polynomial map remains valid in the case of a rational map, provided that the standard capacity of the preimage is replaced by its capacity in the external field determined by the poles in C of the rational function determining the map.
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Original Russian Text © V. I. Buslaev, 2016, published in Matematicheskie Zametki, 2016, Vol. 100, No. 6, pp. 790–799.
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Buslaev, V.I. The capacity of the rational preimage of a compact set. Math Notes 100, 781–789 (2016). https://doi.org/10.1134/S0001434616110171
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DOI: https://doi.org/10.1134/S0001434616110171