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. 72, N 2, 2017. P. 0].

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.

№ 3/2014