An unconditional basis in periodic spaces with dominating mixed smoothness properties (Q1096845)

The author takes up the study of how to reduce certain integral operators between Besov spaces to matrix operators between corresponding sequence spaces. A theorem proved here advances further the studies done in some earlier works. [\textit{H. J. Schmeisser} and \textit{H. Triebel}, Topics in Fourier Analysis and Function spaces, (Leipzig, 1987) and \textit{H. J. Schmeisser} and \textit{W. Sickel}, Anal. Math. 8, 57-70 (1982; Zbl 0497.42007)]. A theorem of the paper also obtains as its special case a theorem of \textit{P. Lizorkin} and \textit{D. G. Orlovskij}, Some interpolation formulae for trigonometric and exponential polynomials and estimates related with them, Tr. Semin. S. L. Sobolev 1, 60-71 (1976).