### 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 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Azerbaijan Journal of Mathematics*,

*8*(1), 69-85.

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

Research output: Contribution to journal › Article

*Azerbaijan Journal of Mathematics*, vol. 8, no. 1, pp. 69-85.

}

TY - JOUR

T1 - An elementary proof of the carathéodory kernel convergence theorem

AU - Izuki, Mitsuo

AU - Koyama, T.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

KW - Kernel of a sequence of domains

KW - The Carathéodory kernel convergence theorem

KW - The Vitali theorem

UR - http://www.scopus.com/inward/record.url?scp=85040096189&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85040096189&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85040096189

VL - 8

SP - 69

EP - 85

JO - Azerbaijan Journal of Mathematics

JF - Azerbaijan Journal of Mathematics

SN - 2218-6816

IS - 1

ER -