Перетворення типу згортки для функцiй з монотонними коефiцiєнтами Фур’є в просторi Lp

Abstract

Some statements related to integral transformations of the convolution type in the spaces Lp are presented. These results complete and specify similar results considered earlier in Shapiro’s, Boman–Shapiro’s, and M. F. Timan’s works. This concerns the periodic functions with Fourier monotonous coefficients.