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Continuity of condenser capacity under holomorphic motions
Published online by Cambridge University Press: 29 June 2020
Abstract
We show that condenser capacity varies continuously under holomorphic motions, and the corresponding family of the equilibrium measures of the condensers is continuous with respect to the weak-star convergence. We also study the behavior of uniformly perfect sets under holomorphic motions.
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- © Canadian Mathematical Society 2020