Geodesic
Carath\'eodory sets and analytic balayage of measures
Sbornik. Mathematics, Tome 209 (2018) no. 9, pp. 1376-1389

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We consider the concept of an analytic balayage of measures introduced by D. Khavinson. New formulae for analytic balayage are obtained in the case when the support of a measure lies inside some Carathéodory compact set, and balayage onto its boundary is considered. The constructions are based on recent results on the boundary behaviour of conformal mappings of the unit disc onto Carathéodory domains. Bibliography: 27 titles.
Keywords: Carathéodory domain, Carathéodory compact set, orthogonal measure, conformal mapping.
Mots-clés : analytic balayage 
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     author = {K. Yu. Fedorovskiy},
     title = {Carath\'eodory sets and analytic balayage of measures},
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K. Yu. Fedorovskiy. Carath\'eodory sets and analytic balayage of measures. Sbornik. Mathematics, Tome 209 (2018) no. 9, pp. 1376-1389. http://geodesic.mathdoc.fr/item/SM_2018_209_9_a5/