Two Weight Norm Inequalities for Commutators of One-sided Singular

M. LORENTE, M.S. RIVEROS

Journal of the Australian Math. Soc. Series A

Año: 2005 vol. 79 p. 77 - 94

1446-8107

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 Calderón-Zygmund kernel with support in (-\infty, 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.