Geodesic
Paley inequality for Bellman transform of multiple Fourier series
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2014), pp. 8-14

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A root estimate is obtained for the Hardy–Littlewood–Paley inequality for Bellman type averages of Fourier coefficients of functions from anisotropic Lorentz spaces. 
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     author = {A. M. Zhantakbayeva and E. D. Nursultanov},
     title = {Paley inequality for {Bellman} transform of multiple {Fourier} series},
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A. M. Zhantakbayeva; E. D. Nursultanov. Paley inequality for Bellman transform of multiple Fourier series. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2014), pp. 8-14. http://geodesic.mathdoc.fr/item/VMUMM_2014_3_a1/