Quantitative matrix weighted estimates for certain singular integral operators

Abstract

In this paper quantitative weighted matrix estimates for vector valued extensions of Lr′-Hörmander operators and rough singular integrals are studied. Strong type (p,p) estimates, endpoint estimates, and some new results on Coifman-Fefferman estimates assuming A∞ and Cp condition counterparts are provided. To prove the aforementioned estimates we rely upon some suitable convex body domination results that we settle as well in this paper.