Weak type inequalities on Lorentz martingale spaces

摘要

By the atomic decomposition of Lorentz martingale spaces H-p,q(s), we obtain the following weak type inequalities for maximal operator and square operator P(Mf > lambda) <= (parallel to f parallel to(Hp,qs)/lambda)(p), P(Sf > lambda) <= (parallel to f parallel to(Hp,qs)/lambda)(p), 0 < p < 2, p < q < infinity.