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On the norms of the means of spherical Fourier sums

The spherical Fourier sums of a periodic functions in m variables, the strong means and the strong integral means of these sums for p ≥ 1 are considered. In contrast to the one-dimensional case treated by Hardy and Littlewood, for m ≥ 2 the norms of the corresponding operators in the space L∞ are no...

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Bibliographic Details
Published in:	Труды Института прикладной математики и механики
Date:	2015
Main Author:	Kuznetsova, O.I.
Format:	Article
Language:	English
Published:	Інститут прикладної математики і механіки НАН України 2015
Online Access:	https://nasplib.isofts.kiev.ua/handle/123456789/124232
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Journal Title:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:	On the norms of the means of spherical Fourier sums / O.I. Kuznetsova // Труды Института прикладной математики и механики. — Донецьк: ІПММ, 2015. — Т. 29. — С. 95-99. — Бібліогр.: 9 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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