DOI

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 Carath 'eodory 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 Carath'eodory domains.

Original languageEnglish
Pages (from-to)1376-1389
Number of pages14
JournalSbornik Mathematics
Volume209
Issue number9
DOIs
StatePublished - Sep 2018

    Research areas

  • Analytic balayage, Carath'eodory compact set, Carath'eodory domain, Conformal mapping., Orthogonal measure

    Scopus subject areas

  • Algebra and Number Theory

ID: 86668905