Geodesic
Properties of mixed moduli of smoothness of functions with lacunary Fourier coefficients
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2014), pp. 6-17

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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. 
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     author = {M. K. Potapov and B. V. Simonov},
     title = {Properties of mixed moduli of smoothness of functions with lacunary {Fourier} coefficients},
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M. K. Potapov; B. V. Simonov. Properties of mixed moduli of smoothness of functions with lacunary Fourier coefficients. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2014), pp. 6-17. http://geodesic.mathdoc.fr/item/VMUMM_2014_1_a1/