The sharpeness of some cluster set results

We show that a recent cluster set theorem of Rung is sharp in a certain sense. This is accomplished through the construction of an interpolating sequence whose limit set is closed, totally disconnected and porous. The results also generalize some of Dolzenko's cluster set theorems.

Saved in:
Bibliographic Details
Main Authors: D. C. Rung, S. A. Obaid
Format: Article
Language:English
Published: Wiley 1987-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171287000863
Tags: Add Tag
No Tags, Be the first to tag this record!