International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 3, Pages 477-482
doi:10.1155/S0161171285000527
Some unsolved problems on meromorphic functions of uniformly bounded characteristic
Shinji Yamashita
Department of Mathematics, Tokyo Metropolitan University, Fukasawa, Setagaya, Tokyo 158, Japan
Abstract
The family UBC(R) of meromorphic functions of uniformly bounded characteristic in a Rieman surface R is defined in terms of the Shimizu-Ahlfors characteristic function. There are some natural parallels between UBC(R) and BMOA(R), the family of holomorphic functions of bounded mean oscillation in R. After a survey some open problems are proposed in contrast with BMOA(R).