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. 69, N 1, 2014.].
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.