Geodesic
Circular symmetrization of condensers on Riemann surfaces
Sbornik. Mathematics, Tome 206 (2015) no. 1, pp. 61-86

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We give a simplified definition of the new version of circular symmetrization which has previously been suggested by the author for solving extremal problems in geometric function theory. A proof of the symmetrization principle for the capacities of condensers on Riemann surfaces is presented. In addition, the class of condensers under consideration is extended and all the cases of equality in the symmetrization principle are found. Bibliography: 22 titles.
Keywords: circular symmetrization, condenser capacity, Riemann surface, Chebyshev polynomial. 
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     title = {Circular symmetrization of condensers on {Riemann} surfaces},
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V. N. Dubinin. Circular symmetrization of condensers on Riemann surfaces. Sbornik. Mathematics, Tome 206 (2015) no. 1, pp. 61-86. http://geodesic.mathdoc.fr/item/SM_2015_206_1_a4/