We prove a new dyadic representation theorem with applications to the and theorems. In particular, we obtain the nonhomogeneous theorem under weaker kernel regularity than in the earlier approaches.
"Dyadic Representation and Boundedness of Nonhomogeneous Calderón–Zygmund Operators with Mild Kernel Regularity." Michigan Math. J. 67 (4) 757 - 786, November 2018. https://doi.org/10.1307/mmj/1531447374