Geodesic
The Hardy–Littlewood Theorem for Fourier–Haar Series
Matematičeskie zametki, Tome 73 (2003) no. 3, pp. 340-347 
E. D. Nursultanov; T. U. Aubakirov. The Hardy–Littlewood Theorem for Fourier–Haar Series. Matematičeskie zametki, Tome 73 (2003) no. 3, pp. 340-347. http://geodesic.mathdoc.fr/item/MZM_2003_73_3_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

An interpolation theorem for a class of net spaces is proved. In terms of Fourier–Haar coefficients, we obtain a test for a function to belong to the net space $N_p^q (M)$, where 1 and M is the set of all closed intervals in $[0,1]$. As a corollary, we derive an analog of the Hardy–Littlewood theorem for Fourier–Haar series.

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