This article is cited in 1 paper

On the Coefficients of Fourier Series with Respect to Trigonometric Systems in the Space $L_{2,r}$

N. T. Tleukhanova^a, G. K. Musabaeva

^a L. N. Gumilev Eurasian National University, Astana

Abstract: A Hardy–Littlewood type theorem for trigonometric series in the space $L_{2,r}$, strengthening Bochkarev's theorem, is obtained.

Keywords: Fourier series, Hardy–Littlewood type theorem, trigonometric series, the space $L_{2,r}$.

UDC: 517.51

Received: 24.05.2013

DOI: 10.4213/mzm10364

 English version: Mathematical Notes, 2013, 94:6, 908–912

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