Continuity of condenser capacity under holomorphic motions
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Published:2020-06-29
Issue:2
Volume:64
Page:340-348
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. Math. Bull.
Author:
Pouliasis Stamatis
Abstract
AbstractWe 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.
Publisher
Canadian Mathematical Society
Subject
General Mathematics