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ON THE UNIFORM PERFECTNESS OF THE BOUNDARY OF MULTIPLY CONNECTED WANDERING DOMAINS.

Authors :
BERGWEILER, WALTER
ZHENG, JIAN-HUA
Source :
Journal of the Australian Mathematical Society. Dec2011, Vol. 91 Issue 3, p289-311. 23p.
Publication Year :
2011

Abstract

We investigate when the boundary of a multiply connected wandering domain of an entire function is uniformly perfect. We give a general criterion implying that it is not uniformly perfect. This criterion applies in particular to examples of multiply connected wandering domains given by Baker. We also provide examples of infinitely connected wandering domains whose boundary is uniformly perfect. [ABSTRACT FROM PUBLISHER]

Details

Language :
English
ISSN :
14467887
Volume :
91
Issue :
3
Database :
Academic Search Index
Journal :
Journal of the Australian Mathematical Society
Publication Type :
Academic Journal
Accession number :
73961559
Full Text :
https://doi.org/10.1017/S1446788711001509