2 papers
math.GM2023
Some new weak type inequality for weighted maximal operators of Walsh-Fourier series
David Baramidze, Lars-Erik Persson, Harpal Singh +1
In this paper we introduce some new weighted maximal operators of the partial sums of the Walsh-Fourier series. We prove that for some "optimal" weights these new operators indeed…
math.CA2022
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 such that the subsequence of Nörlund logarithmic means with respect to the Walsh system are not bounded in the L…