Two weight norm inequalities for communtators of one-sided singular integrals and the one-sided discrete square function

摘要

The purpose of this paper is to prove strong type inequalities with pairs of related weights for commutators of one-sided singular integrals (given by a Calder?3n-Zygmund kernel with support in (-a??, 0)) and the one-sided discrete square function. The estimate given by C. Segovia and J. L. Torrea is improved for these one-sided operators giving a wider class of weights for which the inequality holds.