Geodesic
On the Coefficients of Fourier Series with Respect to Trigonometric Systems in the Space~$L_{2,r}$
Matematičeskie zametki, Tome 94 (2013) no. 6, pp. 884-888.

Voir la notice de l'article provenant de la source Math-Net.Ru

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 $L_{2,r}$. 
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N. T. Tleukhanova; G. K. Musabaeva. On the Coefficients of Fourier Series with Respect to Trigonometric Systems in the Space~$L_{2,r}$. Matematičeskie zametki, Tome 94 (2013) no. 6, pp. 884-888. http://geodesic.mathdoc.fr/item/MZM_2013_94_6_a7/

[1] C. V. Bochkarev, “Teorema Khausdorfa–Yunga–Rissa v prostranstvakh Lorentsa i multiplikativnye neravenstva”, Teoriya priblizhenii. Garmonicheskii analiz, Tr. MIAN, 219, Nauka, M., 1997, 103–114 | MR | Zbl

[2] E. M. Stein, “Interpolation of linear operators”, Trans. Amer. Math. Soc., 83 (1956), 482–492 | DOI | MR