论嵌套环域并集的模
复变函数
2011-08-25 v2
摘要
我们证明了一个结果，给出了作为可数嵌套共形环域并的共形环域具有有界模的充分条件。我们的定理还给出了此类环域模的估计，其证明使用了一个插值结果，即在给定两个环域边界的光滑等同下，构造这两个环域之间的拟共形映射。
引用
@article{arxiv.1108.4620,
title = {On the Modulus of a Union of Nested Annuli},
author = {Mark Comerford},
journal= {arXiv preprint arXiv:1108.4620},
year = {2011}
}
备注
This paper has been withdrawn as it has been brought to the attention of the author that a result similar to Theorem 1 was proved in a paper of Lehto in 1965