Some new results for subsequences of Nörlund logarithmic means of Walsh-Fourier series

D. Baramidze, L. -E. Persson, H. Singh +1

We prove that there exists a martingale $f\in H_p$ such that the subsequence $\{L_{2^n}f\}$ of Nörlund logarithmic means with respect to the Walsh system are not bounded in the L…