Paley inequality for the Bellman transform of multiple Fourier series / A. M. Zhantakbaeva, E. D. Nursultanov. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2014. № 3. P. 8-14 [Moscow Univ. Math. Bulletin. Vol. 69, N 3, 2014.].
A root estimate is obtained for the Hardy-Littlewood-Paley inequality for Bellman type averages of Fourier coefficients of functions from anisotropic Lorentz spaces.
Key words: anisotropic Lorentz spaces, Hardy-Littlewood-Paley inequality, Fourier coefficients.