Abstract:
Conditions of integrability with a power weight are obtained for the sums of series of absolute values of blocks of sine series and cosine series under certain special conditions imposed on the coefficients of these series.
Citation:
S. A. Telyakovskii, “On the series of absolute values of blocks of trigonometric series”, Function spaces and related problems of analysis, Collected papers. Dedicated to Oleg Vladimirovich Besov, corresponding member of the Russian Academy of Sciences, on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 284, MAIK Nauka/Interperiodica, Moscow, 2014, 243–251; Proc. Steklov Inst. Math., 284 (2014), 235–243
\Bibitem{Tel14}
\by S.~A.~Telyakovskii
\paper On the series of absolute values of blocks of trigonometric series
\inbook Function spaces and related problems of analysis
\bookinfo Collected papers. Dedicated to Oleg Vladimirovich Besov, corresponding member of the Russian Academy of Sciences, on the occasion of his 80th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2014
\vol 284
\pages 243--251
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3526}
\crossref{https://doi.org/10.1134/S0371968514010178}
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\transl
\jour Proc. Steklov Inst. Math.
\yr 2014
\vol 284
\pages 235--243
\crossref{https://doi.org/10.1134/S0081543814010179}
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Linking options:
https://www.mathnet.ru/eng/tm3526
https://doi.org/10.1134/S0371968514010178
https://www.mathnet.ru/eng/tm/v284/p243
This publication is cited in the following 1 articles:
S. A. Telyakovskii, “Series formed by the moduli of blocks of terms of trigonometric series. A survey”, J. Math. Sci., 209:1 (2015), 152–158
Citation in format AMSBIB
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