SUBSEQUENCES OF PARTIAL SUMS OF THE FOURIER-WALSH SERIES IN THE LORENTZ SPACES

摘要

In this paper, we consider the question about the convergence of partial sums Sn(f) of the Fourier-Walsh series by the norm of the Lorentz space Λψ,p, depending on the properties of the sequence {nk} (the indices n in the partial sum Sn(f) run over this sequence).