Article
The sharpness of some cluster set results
International Journal of Mathematics and Mathematical Sciences
(1987)
Abstract
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.
Keywords
- Dolzenko,
- theorems,
- Cluster sets,
- interpolating sequences,
- porous sets
Disciplines
Publication Date
1987
DOI
10.1155/S0161171287000863
Publisher Statement
This article was published in the International Journal of Mathematics and Mathematical Sciences, volume 10, issue 4, 1987, and is also available at this link.
Copyright © 1987 Hindawi Publishing Corporation. 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.
Citation Information
D. C. Rung and Samih Obaid. "The sharpness of some cluster set results" International Journal of Mathematics and Mathematical Sciences Vol. 10 Iss. 4 (1987) p. 777 - 786 ISSN: 0161-1712 Available at: http://works.bepress.com/samih_obaid/7/
Creative Commons license
This work is licensed under a Creative Commons CC_BY International License.