Carath'eodory sets and analytic balayage of measures

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Carath'eodory sets and analytic balayage of measures. / Fedorovskiy, K. Yu.

In: Sbornik Mathematics, Vol. 209, No. 9, 09.2018, p. 1376-1389.

Research output: Contribution to journal › Article › peer-review

Author

Fedorovskiy, K. Yu. / Carath'eodory sets and analytic balayage of measures. In: Sbornik Mathematics. 2018 ; Vol. 209, No. 9. pp. 1376-1389.

BibTeX

@article{e3d14b8dbdeb4ad6be5300e1dc10f442,

title = "Carath'eodory sets and analytic balayage of measures",

abstract = "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.",

keywords = "Analytic balayage, Carath'eodory compact set, Carath'eodory domain, Conformal mapping., Orthogonal measure",

author = "Fedorovskiy, {K. Yu}",

note = "Publisher Copyright: {\textcopyright} 2018 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd.",

year = "2018",

month = sep,

doi = "10.1070/SM8969",

language = "English",

volume = "209",

pages = "1376--1389",

journal = "Sbornik Mathematics",

issn = "1064-5616",

publisher = "Turpion Ltd.",

number = "9",

}

RIS

TY - JOUR

T1 - Carath'eodory sets and analytic balayage of measures

AU - Fedorovskiy, K. Yu

PY - 2018/9

Y1 - 2018/9

N2 - 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.

AB - 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.

KW - Analytic balayage

KW - Carath'eodory compact set

KW - Carath'eodory domain

KW - Conformal mapping.

KW - Orthogonal measure

UR - http://www.scopus.com/inward/record.url?scp=85050257042&partnerID=8YFLogxK

U2 - 10.1070/SM8969

DO - 10.1070/SM8969

M3 - Article

AN - SCOPUS:85050257042

VL - 209

SP - 1376

EP - 1389

JO - Sbornik Mathematics

JF - Sbornik Mathematics

SN - 1064-5616

IS - 9

ER -

ID: 86668905