@article{4825a9c595104eedbb50c08d74f968b6,
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. Publisher Copyright: {\textcopyright} 2010 AZJM All rights reserved.",
year = "2018",
month = jan,
language = "English",
volume = "8",
pages = "69--85",
journal = "Azerbaijan Journal of Mathematics",
issn = "2218-6816",
publisher = "Institute of Mathematics and Mechanics NAS of Azerbaijan",
number = "1",
}