Abstract
Let C (−1,1,a) be the minimum capacity in the family of all continua on ℂ. containing -1,1,a. One obtains upper estimates for the quantities
for 0⩽u/</1, V⩽u. As a consequence, one obtains an inequality for a certain conformal invariant, in the problem of the nonoverlapping domains. This last inequality generalizes a previous result of the author.
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Literature cited
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 125, pp. 114–127, 1983.
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Kuz'mina, G.V. Maximum of a certain conformal invariant associated with capacity. J Math Sci 26, 2377–2385 (1984). https://doi.org/10.1007/BF01680018
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DOI: https://doi.org/10.1007/BF01680018