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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 |