Properties of mixed smoothness modules of functions with lacunary Fourier coefficients / M. K. Potapov, B. V. Simonov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2014. № 1. P. 6-17 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].

Certain properties of the mixed moduli of smoothness of functions with lacunary Fourier coefficients are refined in the case of Lebesgue space with a mixed norm.

Key words: mixed modulus of smoothness, lacunary Fourier coefficients, mixed norm.

№ 1/2014