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arXiv · 1011.5318

On the uniform perfectness of the boundary of multiply connected wandering domains

Walter Bergweiler·Jian-Hua Zheng
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Abstract

We investigate in which cases 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.

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Walter Bergweiler, Jian-Hua Zheng. 2010-11-24. On the uniform perfectness of the boundary of multiply connected wandering domains. https://doi.org/10.1017/s1446788711001509

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