Analytic capacity , rectifiability , and the Cauchy integral

@inproceedings{Tolsa2006AnalyticC,
  title={Analytic capacity , rectifiability , and the Cauchy integral},
  author={Xavier Tolsa},
  year={2006}
}
A compact set E ⊂ C is said to be removable for bounded analytic functions if for any open set containing E, every bounded function analytic on \ E has an analytic extension to . Analytic capacity is a notion that, in a sense, measures the size of a set as a non removable singularity. In particular, a compact set is removable if and only if its analytic capacity vanishes. The so-called Painlevé problem consists in characterizing removable sets in geometric terms. Recently many results in… CONTINUE READING
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