An elementary proof of the carathéodory kernel convergence theorem

Mitsuo Izuki, T. Koyama

Research output: Contribution to journalArticle


Our aim is to give an elementary and self-contained proof of the Carathéodory kernel convergence theorem based on some fundamental facts in complex analysis.

Original languageEnglish
Pages (from-to)69-85
Number of pages17
JournalAzerbaijan Journal of Mathematics
Issue number1
Publication statusPublished - Jan 1 2018



  • Kernel of a sequence of domains
  • The Carathéodory kernel convergence theorem
  • The Vitali theorem

ASJC Scopus subject areas

  • Mathematics(all)

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