Some new (H_p-L_p) type inequalities for weighted maximal operators of partial sums of Walsh–Fourier series

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(G) to the Lebesgue space L_p(G), for 0更多