Geodesic
Properties of sums of double trigonometric series with multiply monotone coefficients
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2020), pp. 8-22

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Sums of double sine and cosine series with multiply monotonic coefficients are studied. Sufficient conditions for such sums to belong to Orlich's weighted classes are obtained. 
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     author = {T. M. Vukolova and B. V. Simonov},
     title = {Properties of sums of double trigonometric series with multiply monotone coefficients},
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T. M. Vukolova; B. V. Simonov. Properties of sums of double trigonometric series with multiply monotone coefficients. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2020), pp. 8-22. http://geodesic.mathdoc.fr/item/VMUMM_2020_5_a1/