Width of the Gakhov class over the Dirichlet space is equal to 2

dc.contributor.author	Kazantsev A.
dc.date.accessioned	2018-09-19T22:10:10Z
dc.date.available	2018-09-19T22:10:10Z
dc.date.issued	2016
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/144799
dc.description.abstract	© 2016, Pleiades Publishing, Ltd.Gakhov class G is formed by the holomorphic and locally univalent functions in the unit disk with no more than unique critical point of the conformal radius. Let D be the classical Dirichlet space, and let P: f ↦ F = f″/f′. We prove that the radius of the maximal ball in P(G)∩D with the center at F = 0 is equal to 2.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	Bloch space
dc.subject	conformal radius
dc.subject	Dirichlet space
dc.subject	Gakhov class
dc.subject	Gakhov width
dc.subject	Hyperbolic derivative
dc.title	Width of the Gakhov class over the Dirichlet space is equal to 2
dc.type	Article
dc.relation.ispartofseries-issue	4
dc.relation.ispartofseries-volume	37
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	449
dc.source.id	SCOPUS19950802-2016-37-4-SID84978520167

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