On the Existence of Grötzsch–Wiener Points

dc.contributor.author	Kazantsev A.V.
dc.contributor.author	Kinder M.I.
dc.date.accessioned	2022-02-09T20:43:03Z
dc.date.available	2022-02-09T20:43:03Z
dc.date.issued	2021
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/169781
dc.description.abstract	Abstract: We consider the simplest class of countably connected domains with the unique limit point boundary component. We find the domains in this class where the limit component is simultaneously perfect in the Grötzsch sense, i.e. corresponds to a point boundary component under any conformal mapping, and regular in the sense of the Dirichlet problem. We call the regular point the Wiener point in commemoration of the role played by the legendary Wiener criterion in our study.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	Brown theorem
dc.subject	countably connected domain
dc.subject	generalized reduced module
dc.subject	irregular point
dc.subject	Mityuk’s radius
dc.subject	perfect limit point component
dc.subject	regular point
dc.subject	Wiener criterion
dc.title	On the Existence of Grötzsch–Wiener Points
dc.type	Article
dc.relation.ispartofseries-issue	1
dc.relation.ispartofseries-volume	42
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	118
dc.source.id	SCOPUS19950802-2021-42-1-SID85101744597

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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.