Resumen de A note on weighted inequalities for a one-sided maximal operator in R n .

María Lorente, Francisco Javier Martín Reyes

• We introduce a new dyadic one-sided maximal operator M+⋯+d in Rn that allows us to obtain good weights for the Lp-boundedness of a one-sided maximal operator N+⋯+ in Rn, which is equivalent to the classical one-sided Hardy–Littlewood maximal operator in the case n=1, but not in the case n>1. In order to do this, we characterize the good pairs of weights for the weak and strong type inequalities for M+⋯+d and we use a Fefferman–Stein type inequality which gives that, in a certain sense, M+⋯+d controls N+⋯+.