Possibility to Strengthen the Lieb-Thirring Inequality for Systems of Functions of Special Type / Barsegyan D.S. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2011. ? 3. P. 3-10 [Moscow Univ. Math. Bulletin. Vol. 66, N 3, 2011.].

A strengthening of the Lieb-Thirring inequality for systems of functions of special type is proved by the standard Fourier technique.

Key words: Lieb-Thirring inequality, Rademacher's system, Littlewood-Paley's inequality, Fourier transform, orthonormal systems.