Dyadic representation and boundedness of non-homogeneous Calderón--Zygmund operators with mild kernel regularity

Abstract

We prove a new dyadic representation theorem with applications to the $T(1)$ and $A_2$ theorems. In particular, we obtain the non-homogeneous $T(1)$ theorem under weaker kernel regularity than the earlier approaches.

30 pages

References in corpus (1)

• Multi-parameter singular integral operators and representation theorem