### 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 language | English |
---|---|

Pages (from-to) | 69-85 |

Number of pages | 17 |

Journal | Azerbaijan Journal of Mathematics |

Volume | 8 |

Issue number | 1 |

Publication status | Published - Jan 1 2018 |

### Keywords

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

### ASJC Scopus subject areas

- Mathematics(all)

## Fingerprint Dive into the research topics of 'An elementary proof of the carathéodory kernel convergence theorem'. Together they form a unique fingerprint.

## Cite this

Izuki, M., & Koyama, T. (2018). An elementary proof of the carathéodory kernel convergence theorem.

*Azerbaijan Journal of Mathematics*,*8*(1), 69-85.