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The integral means spectrum for lacunary series

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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.

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