The integral means spectrum for lacunary series

dc.contributor.author	Kayumov I.
dc.date.accessioned	2018-09-17T21:31:05Z
dc.date.available	2018-09-17T21:31:05Z
dc.date.issued	2001
dc.identifier.issn	1239-629X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/135094
dc.description.abstract	Asymptotically sharp bounds for the integral means spectrum of lacunary series are proved. In particular, we show that Rohde's estimates for lacunary series with positive coefficients are sharp and hold not only for the positive case. Moreover, a relation between the law of the iterated logarithm and the integral means spectrum is established. Using this we give a sharp version of the Makarov law of the iterated logarithm for lacunary series.
dc.relation.ispartofseries	Annales Academiae Scientiarum Fennicae Mathematica
dc.title	The integral means spectrum for lacunary series
dc.type	Article
dc.relation.ispartofseries-issue	2
dc.relation.ispartofseries-volume	26
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	447
dc.source.id	SCOPUS1239629X-2001-26-2-SID0012036216

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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.