Bounded holomorphic functions and maps with some boundary behavior |
| |
Authors: | Toshio Matsushima |
| |
Affiliation: | Ishikawa National College of Technology, Kita-Chuhjoh, Tsubata, Ishikawa 929-0392, Japan |
| |
Abstract: | Let Ω be a domain of . As a study of boundary behavior of functions and maps in Ω, we consider “the linear cluster set,” which is the cluster set along segment terminating at a boundary point of Ω. We prove that there exist bounded holomorphic functions and maps defined in Ω which have the linear cluster sets of positive measure at every point of a discrete subset of the boundary of Ω under some conditions. |
| |
Keywords: | Boundary behavior Holomorphic mapping Bounded holomorphic function |
本文献已被 ScienceDirect 等数据库收录! |
|