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.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1987-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171287000863 |
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| _version_ | 1832556029784621056 |
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| author | D. C. Rung S. A. Obaid |
| author_facet | D. C. Rung S. A. Obaid |
| author_sort | D. C. Rung |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-f6a9483446ea47299f278473827a31f7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1987-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f6a9483446ea47299f278473827a31f72025-02-03T05:46:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-0110477778610.1155/S0161171287000863The sharpeness of some cluster set resultsD. C. Rung0S. A. Obaid1Department of Mathematics, The Pennsylvania State University, University Park, 16802, PA, USADepartment of Mathematics and Computer Science, San Jose State University, San Jose 95192, San Jose, USAWe 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.http://dx.doi.org/10.1155/S0161171287000863cluster setsinterpolating sequencesporous sets. |
| spellingShingle | D. C. Rung S. A. Obaid The sharpeness of some cluster set results International Journal of Mathematics and Mathematical Sciences cluster sets interpolating sequences porous sets. |
| title | The sharpeness of some cluster set results |
| title_full | The sharpeness of some cluster set results |
| title_fullStr | The sharpeness of some cluster set results |
| title_full_unstemmed | The sharpeness of some cluster set results |
| title_short | The sharpeness of some cluster set results |
| title_sort | sharpeness of some cluster set results |
| topic | cluster sets interpolating sequences porous sets. |
| url | http://dx.doi.org/10.1155/S0161171287000863 |
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