A Set with Finite Curvature and Projections of Zero Length
A Set with Finite Curvature and Projections of Zero Length
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具有有限曲率和零长度投影的集合
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
Peter Mörters
中科院分区：
文献类型：
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作者：
H. Joyce;Peter Mörters
复平面的紧致子集E称为可去的，如果它的补上的所有有界解析函数都是常数，或者等价地，如果它的解析容量为零。寻找可去集的几何特征的问题已经有一百多年的历史了，至今仍未完全解决。
A compact subset E of the complex plane is called removable if all bounded analytic functions on its complement are constant or, equivalently, i f its analytic capacity vanishes. The problem of finding a geometric characterization of the removable sets is more than a hundred years old and still not comp letely solved.