International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 3, Pages 477-482
Some unsolved problems on meromorphic functions of uniformly bounded characteristic
Department of Mathematics, Tokyo Metropolitan University, Fukasawa, Setagaya, Tokyo 158, Japan
Received 14 February 1985
Copyright © 1985 Shinji Yamashita. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The family of meromorphic functions of uniformly bounded characteristic in a Rieman surface is defined in terms of the Shimizu-Ahlfors characteristic function. There are some natural parallels between and , the family of holomorphic functions of bounded mean oscillation in . After a survey some open problems are proposed in contrast with .