Weak type estimates for some maximal operators on the weighted Hardy spaces

Abstract

Weighted weak type estimates are proved for some maximal operators on the weighted Hardy spaces H ${}_{ω}^{p}$ (0 < p < 1, ω ∈A₁) (0<p<1, ω∞A₁); in particular, weighted weak type endpoint estimates are obtained for the maximal operators arising from the Bochner-Riesz means and the spherical means on H ${}_{ω}^{p}$ .