Some new weak (H_p-L_p) type inequality for weighted maximal operators of Walsh-Fourier series

2023/06/26 by Baramidze, David, Persson, Lars-Erik, Singh, Harpal +1
#42C10 #FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.2308.00794

Abstract

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 are bounded from the martingale Hardy space H_p to the Lebesgue space weak-L_p, for 0

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