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A note on an area-type functional of Bloch functions
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| dc.contributor.author | Kayumov I. | |
| dc.date.accessioned | 2018-09-19T22:11:05Z | |
| dc.date.available | 2018-09-19T22:11:05Z | |
| dc.date.issued | 2017 | |
| dc.identifier.issn | 1995-0802 | |
| dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/144828 | |
| dc.description.abstract | © 2017, Pleiades Publishing, Ltd.Let D be the unit disk centered at the origin in the complex plane. In this paper we consider an extremal problem for an area-type functional in the space B of Bloch functions with the seminorm ||b||B = sup{(1 − |z|2)|b’(z)|: z ∈ D}. We show that sup{Σk=1n k|bk|2: ||b||B ≤ 1} = nBn2, n = 1, 2, 3, 4, 5, where bk are the Taylor coefficients of b and Bn = sup{|bn|: ||b||B ≤ 1}. | |
| dc.relation.ispartofseries | Lobachevskii Journal of Mathematics | |
| dc.subject | area’s functional | |
| dc.subject | Bloch space | |
| dc.title | A note on an area-type functional of Bloch functions | |
| dc.type | Article | |
| dc.relation.ispartofseries-issue | 3 | |
| dc.relation.ispartofseries-volume | 38 | |
| dc.collection | Публикации сотрудников КФУ | |
| dc.relation.startpage | 466 | |
| dc.source.id | SCOPUS19950802-2017-38-3-SID85019668832 |
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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.