An elementary proof of the carathéodory kernel convergence theorem

M. Izuki; T. Koyama

An elementary proof of the carathéodory kernel convergence theorem

M. Izuki, T. Koyama

Research output: Contribution to journal › Article › peer-review

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 2018

Keywords

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

ASJC Scopus subject areas

Mathematics(all)

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title = "An elementary proof of the carath{\'e}odory kernel convergence theorem",

abstract = "Our aim is to give an elementary and self-contained proof of the Carath{\'e}odory kernel convergence theorem based on some fundamental facts in complex analysis.",

keywords = "Kernel of a sequence of domains, The Carath{\'e}odory kernel convergence theorem, The Vitali theorem",

author = "M. Izuki and T. Koyama",

note = "Funding Information: The first author was partially supported by Grand-in-Aid for Scientific Research (C), No. 15K04928, for Japan Society for the Promotion of Science. The authors are grateful to the referee whose valuable comments have improved the first manuscript.",

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KW - The Vitali theorem

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An elementary proof of the carathéodory kernel convergence theorem

Abstract

Keywords

ASJC Scopus subject areas

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Cite this