On the Analytic Part of Univalent Harmonic Mappings

dc.contributor.author	Kayumov I.
dc.contributor.author	Ponnusamy S.
dc.contributor.author	Xuan L.
dc.date.accessioned	2019-01-22T20:46:33Z
dc.date.available	2019-01-22T20:46:33Z
dc.date.issued	2018
dc.identifier.issn	1661-8254
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/148716
dc.description.abstract	© 2018, Springer International Publishing AG, part of Springer Nature. In this article we obtain two sharp results concerning the analytic part of harmonic mappings f= h+ g¯ from the class SH0(S) which was recently introduced by Ponnusamy and Sairam Kaliraj. For example, we get the sharp estimate for \| arg h′(z) \| in the case when \|z\|≤1/2 and obtain the sharp radius of convexity for h. Our approach is applicable to a more general situation. Finally, we determine simple condition on the analytic part of univalent harmonic mappings so that it is in Hpspaces for 0 < p< 1 / 3.
dc.relation.ispartofseries	Complex Analysis and Operator Theory
dc.subject	Disk automorphism
dc.subject	Harmonic (analytic) Hardy spaces
dc.subject	Harmonic univalent and convex mappings
dc.subject	Integral means
dc.subject	Koebe transform
dc.subject	Rotation theorem
dc.subject	Schwarz–Pick Lemma
dc.title	On the Analytic Part of Univalent Harmonic Mappings
dc.type	Article
dc.relation.ispartofseries-issue	5
dc.relation.ispartofseries-volume	12
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	1291
dc.source.id	SCOPUS16618254-2018-12-5-SID85040794260

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