Estimates of mixed norms of functions represented by double series over sines with multiple-monotone coefficients / T. M. Vukolova. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2013. № 6. P. 3-9 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].
In this paper we prove lower and upper bounds for the norms of mixed, i.e., sums of double sine series with multiply monotonous coefficients.
Key words: mixed norm, double series of sine, monotone coefficients.