Carathéodory sets and analytic balayage of measures

K. Yu. Fedorovskiy

Sbornik. Mathematics, Tome 209 (2018) no. 9, pp. 1376-1389

Résumé

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.

Détail

Keywords: orthogonal measure, conformal mapping.
Mots-clés : Carathéodory domain, Carathéodory compact set, analytic balayage

Bibliographie

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