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Analytic capacity, rectifiability, and the Cauchy integral
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...
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ژورنال
عنوان ژورنال: Journal d'Analyse Mathématique
سال: 2018
ISSN: 0021-7670,1565-8538
DOI: 10.1007/s11854-018-0028-9