Continuity of condenser capacity under holomorphic motions

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)340-348
Number of pages9
JournalCanadian Mathematical Bulletin
Volume64
Issue number2
DOIs
StatePublished - Jun 2021

Keywords

  • AMS subject classification 31A15 31A05 30C85 37F45

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