An elementary proof of the carathéodory kernel convergence theorem

Mitsuo Izuki, T. Koyama

Research output: Contribution to journalArticle

Abstract

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
Volume8
Issue number1
Publication statusPublished - Jan 1 2018

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Complex Analysis
Convergence Theorem
kernel

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

An elementary proof of the carathéodory kernel convergence theorem. / Izuki, Mitsuo; Koyama, T.

In: Azerbaijan Journal of Mathematics, Vol. 8, No. 1, 01.01.2018, p. 69-85.

Research output: Contribution to journalArticle

Izuki, Mitsuo ; Koyama, T. / An elementary proof of the carathéodory kernel convergence theorem. In: Azerbaijan Journal of Mathematics. 2018 ; Vol. 8, No. 1. pp. 69-85.
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